Mickey sold two types of calendars for her club. She sold a total of 64 calendars for $140.50. One type of calendar sold for $2.50 each, and the other sold for $1.75 each.
1. How many of the $2.50 calendars did she sell?
2. How many of the $1.75 calendars did she sell?

- anonymous

- chestercat

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- anonymous

Let us suppose he is sold x number of one type of calendar @ a price of $2.50
so he sold (64-x) number of calenders @ a price of $ 1.75
\[$2.50x + $1.75(64-x) = $ 140.50\]
now solve for x

- anonymous

So would #1 be 38 & #2 be 26?

- anonymous

i dont know i have not calculated it u cross check your answer by plugging value of x in the equation

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## More answers

- anonymous

Ok. thats the answers i got. & they worked.

- anonymous

YAY you did it !!!!!!!!

- anonymous

Can you help me with a few more?

- anonymous

yeah post it

- anonymous

With the wind, a jet takes 3 hours to fly 1890 miles. Against wind, it takes 4 hours for the same trip. Find the winds speed and the planes speed. (Let p=planes speed & w= winds speed.

- anonymous

if speed is p+w the plane travels 1890 miles in 3 hours
if speed is p-w the plane travels 1890 miles in 4 hours
now solve it

- anonymous

Ok, thank you. I can solve it from there. (:
Next one:
Flying against the wind, an airplane travels 2880 miles in 4.5 hours. Flying with the wind, the airplane can travel the same distance in 4 hours.
1. Find the speed of the plane in calm air.
2. Find the speed of the wind.

- anonymous

same problem as before

- anonymous

I just have problems with setting up the equations.

- Hero

By the way, for the previous problem, the simpler equations are:
x = Calendar 1
y = Calendar 2
(calendar amount) x + y = 64
(calendar cost) 2.50x + 1.75y = 140.50

- anonymous

Can you help me with the last one i posted?

- Hero

It makes no sense to work with an equation if you can't explain what the equation means.

- anonymous

& half the time you dont make since. Sorry, but with all do respect, i dont like you, one bit.

- anonymous

& you should consider changing your name from HERO, cause your not! sorry.

- Hero

Wow, really? What did I do to you?

- anonymous

Your all the time butting in when someone else is helping me, and you throw in your 2 cents, and half the time you make NO SINCE!

- Hero

Usually people do that to me. Funny that you're saying it about me. I allowed the other person to explain. Then I "butted in" afterward.

- anonymous

Well how about you change your name to MR. BUTT-IN.

- Hero

Perhaps a visual diagram would help, but understand that both problems are related to each other only because they are systems of equations. Other than that, they are two completely different problems.

- Hero

As far as my explanation, I can take another stab at it to make it super clear. If it isn't clear after that, then I won't bother you anymore.

- anonymous

Look im sorry, i really aint got time to bulll crap around, i got finals Monday for 2 different maths, and im freakin out!

- Hero

It is easier to work with variables then entire expressions, so we usually define
x = number of 1st calendar type
y = number of 2nd calendar type
The problem states that there are a total of 64 calendars, so:
Calendar 1 + Calendar 2 = 64
|| ||
x + y = 64
The problem states that 1 calendar costs 2.50 each. The other costs 1.75 each:
Calendar 1 costs 2.50 each
Calendar 2 costs 1.75 each
The total amount of calendars sold costs 140.50. In other words, when all 64 calendars together are sold the total cost will be 140.50:
2.50(Calendar 1) + 1.75(Calendar 2) = 140.50
|| ||
2.50 x + 1.75 y = 140.50
So now, all we do is write both equations together as a system of equations:
x + y = 64
2.50x + 1.75y = 140.50
Try to keep in mind what x and y means as you observe these equations.

- Hero

Please try to control your frustration. It is counter-productive to studying.

- anonymous

@pamelaa23 hero is right you should try to understand the thing.........but that was hillarious Mr. Butt-In

- anonymous

Lol, i know. But, i thought after that problem i was caught up on work and everything. & then a friends text me and reminded me about our other work. * turns out its due tomorrow, 75 questions of Trig/Algebra & a bunch more work.

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