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PhoenixFire
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Solve for x?
mlbach
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yes, i dont even know where to start!!!!
zzr0ck3r
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subtract 7x from both sides and tell me what you got
rainbow22
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5/6
rainbow22
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=x
zzr0ck3r
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@rainbow dont just give answers. Please read rules.
PhoenixFire
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\[13x=7x+5\]
Subtract 7x from both sides.
\[13x-7x=7x-7x+5\]
Combine like terms
\[6x=5\]
Divide both sides by 6
\[x={5 \over 6}\]
zzr0ck3r
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we are not saposed to give them the answers, you should involve them in getting the answer...
PhoenixFire
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Sorry @zzr0ck3r I'll remember for next time.
mlbach
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AHHHHH..Thank you so much Phoenixfire for explaining!!!
mlbach
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X-2/5=1/2
mlbach
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how would i start this one?
PhoenixFire
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Add 2/5 to both sides. What do you get?
mlbach
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im horrible at this!!! add 2/5 to 2/5 and 1/2?
PhoenixFire
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Yes. type out the entire equation with 2/5 added to both sides.
PhoenixFire
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@mlbach Did you get it?
mlbach
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no, im sorry, trying to do it on paper
mlbach
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im 38 and math is like a foreign language to me!
PhoenixFire
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You have \[x-{2 \over 5}={1 \over 2}\]
So, add 2/5. You get:
\[x-{2 \over 5}+{2 \over 5}={1 \over 2}+{2 \over 5}\]
Try solve from there.
mlbach
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x-4/5=9/10
mlbach
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is that right...9/10
PhoenixFire
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You can see that the -2/5+2/5 results in 0.
\[x-0={1 \over 2}+{2 \over 5}\]
But you got the right hand side correct.
mlbach
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ok, they cancel each other out right?
PhoenixFire
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Correct!
So, \[x={9 \over 10}\]
mlbach
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YAY!!!!! thank you!!!
PhoenixFire
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No problem. :)
Any other problems?
mlbach
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2/7X=6
PhoenixFire
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\[{2 \over 7}x=6\]
Divide both sides by 2/7. The one the left will cancel and then you're left with x=??
mlbach
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how do i know that im dividing?
PhoenixFire
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\[{2 \over 7}x=6\]
Divide by 2/7\[{{{2 \over 7}x} \over {2 \over 7}}={6 \over {2 \over 7}}\]
PhoenixFire
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\[{{2 \over 7} \over {2 \over 7}}=1\] Do you understand that?
Anything divided by itself is 1.
mlbach
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yes
mlbach
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i just dont know how to do 6 divided by 2/7
PhoenixFire
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So, that leave \[1x={6 \over {2 \over 7}}\]
Now, a trick is to dividing by fractions:
\[{a \over {b \over c}}={{c \over b}a}\]
You flip the bottom fraction and multiply the top by it.
Giving you: \[{6 \over {2 \over 7}}={7 \over 2}6\]
Or \[{7*6} \over 2\]
PhoenixFire
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Sorry about the bad grammar.. That was truly horrible.
mlbach
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21?
PhoenixFire
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Yes!
\[x=21\]
mlbach
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can i just put you in my pocket and and take you to class with me?
PhoenixFire
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Hahaha. Yes, if you have a cell phone and internet on it. :)
mlbach
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lol
mlbach
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A telephone book has white pages and yellow pages. ¾ of the book consists of the white pages; the yellow pages number 300. What is the total number of pages in the telephone book?
mlbach
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how would i start this one
PhoenixFire
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White=3/4 of the book
Yellow=1/4 of the book.
So, if 1/4 of the book is 300. How many total pages are there?
mlbach
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900
PhoenixFire
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Almost.
Y=yellow=1/4=300
W=white=3/4=300*3
T=total=W+Y=(300*3)+300=1200
mlbach
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ah. i got it
mlbach
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A theater usher at a Broadway musical finds that ½ of the patrons attending a performance are in their seats by show time. The remaining 60 people are seated after the opening number. If the show is always a complete sellout, how many seats does the theater have?
PhoenixFire
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This one is mostly a play on words.
If you single out a few words: "1/2", "remaining", "sellout"
From this you can see that "sellout" says all seats are taken.
"remaining" means those not seated initially.
"1/2" the initial people seated.
So, if "half" of the attendees are seated before the show, and the "remaining" are seated after the first number. How many seats are there in the theater which is "sold out (ie all seats taken)"?
PhoenixFire
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*** "remaining 60" ***
mlbach
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120?
PhoenixFire
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Correct!
mlbach
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YAY!!!! lol
PhoenixFire
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Getting the hang of it?
mlbach
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right now i am, but come test time, I'll draw a blank!
mlbach
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Of those invited to a wedding, 2/7 were friends of the bride. The friends of the groom numbered 65. How many people were invited to the wedding
PhoenixFire
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Haha. Of course. Nobody can avoid the blank come test time.
mlbach
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unfortunatley not!
mlbach
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what do i look at first?
PhoenixFire
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bride=2/7
Therefore, groom=5/7=65
You can take this known number as a percentile of the total attendees.
\[{5 \over 7}T=65\] Where T= the total number of people attending.
Now solve for T.
mlbach
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where did you get 5/7 from?
PhoenixFire
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Well if the brides guests are 2/7 of the attending people. then the grooms is the remaining guests. Correct? so 1-2/7 = 5/7
mlbach
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oh ok
PhoenixFire
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To solve for T you use the same method as one of the other problems above. The funny trick with dividing by fractions.
PhoenixFire
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Got it yet?
mlbach
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not quite
PhoenixFire
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What are you stuck on?
mlbach
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5/7T=65....i get stuck on how to work the problem out
PhoenixFire
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Well you want to isolate T. Because that's the unknown variable that you want to become known.
So in this case, the only way to do that is to remove the 5/7 from T.
You will want to divide by 5/7 to make it cancel out, leaving T alone on the left.
mlbach
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so do i divide both sidesby 5/7?
mlbach
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answer is 91?
PhoenixFire
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Yes. Because if you change the equation on the left, you have to change it in the same way on the right for the equality to hold.
91 is correct!
mlbach
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awesome!!!!
mlbach
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thank you so much for your help, I appreciate it!
PhoenixFire
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No problem at all. Become a fan of me, and if you need help just send me a message.
mlbach
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Done!