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A sporting goods store has added a section with trail foods and snacks. Raisins cost $5.00 per pound and peanuts cost $3.80 per pound. Raisins and peanuts are going to be sold in a mixture of 30 pounds which will cost $4.05 per pound? How many pounds of raisins will be in the mix?
 2 years ago
 2 years ago
A sporting goods store has added a section with trail foods and snacks. Raisins cost $5.00 per pound and peanuts cost $3.80 per pound. Raisins and peanuts are going to be sold in a mixture of 30 pounds which will cost $4.05 per pound? How many pounds of raisins will be in the mix?
 2 years ago
 2 years ago

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feedmemikeyBest ResponseYou've already chosen the best response.0
My education in math basically stopped at 6th grade. Could someone help me, please? I feel exremely stupid for not understanding what I am to do about this problem.
 2 years ago

gandalfwizBest ResponseYou've already chosen the best response.1
Dang, mixture problems. I'm in an 11th grade math course, we did this at the begginning of the year, and I've completely forgotten. I'm sure you're not the only one :) Let me pull out my old books...
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
\[5x+3.80(30x)=30\times 4.05\] solve for x
 2 years ago

feedmemikeyBest ResponseYou've already chosen the best response.0
That is just numbers to me. Please take it step by step.
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
reason as follows put x as the pounds of raisins then since the total is 30 pounds, the number of pounds of peanuts must be 30 x
 2 years ago

feedmemikeyBest ResponseYou've already chosen the best response.0
I multiply 30 by x? What is x?
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
you want 30 pounds of mixute that cost 4.05 per pound, so the total cost should be \[4.05\times 30 = 112.50\]
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
hold on lets start again slowly
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
you are looking for what? two numbers. one is the number of pounds of raisins the other is the number of pounds of peanuts
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
you don't know either of these two numbers, so you first need to name a variable, and the variable should be one of the two numbers. i used x, you can use whatever you like you should write down what your variable represents i write "let x be the number of pounds of raisins"
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
now i know that if we have "x" pounds of raisins we must have \[30x\] pounds of peanuts. why? because the total is 30 so for example if you have 5 pounds of raisins you would have 25 pounds of peanuts, and if you had 10 pounds of raising you would need 20 pounds of peanuts, and more generally if you have "x" pounds of raisins you must have \[30x\] pounds of peanuts
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
how are we doing so far?
 2 years ago

feedmemikeyBest ResponseYou've already chosen the best response.0
So, I am to find what x is? So x is less than 30?
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
you wrote "Raisins and peanuts are going to be sold in a mixture of 30 pounds..."
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
that means that the total is 30
 2 years ago

feedmemikeyBest ResponseYou've already chosen the best response.0
Yes, but you wanted me to take x away from 30, so x is less than 30, no?
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
when i wrote \[30x\] is the number of pounds of peanuts, that is because the pounds of peanuts and the pounds of raisins have to add to 30
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
yes both numbers must be less than 30 because you will have 30 pounds total
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
now rasins cost $5 a pound if you have 2 pounds of raisins it will cost $10 if you have 4 pounds of raisins it will cost $20 if you have 7 pounds of raisins it will cost $35 more generally if you have x pounds of raisins it will cost 5x dollars
 2 years ago

feedmemikeyBest ResponseYou've already chosen the best response.0
Okay. I understand what you wrote.
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
likewise if you have \[30x\] pounds of peanuts, because they cost $3.80 a pound the total cost will be \[3.80\times (30x)\] for the peanuts
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
now we write down what the total cost will be two different ways. one was is easy we have 30 pounds and the cost per pound is $4.05 (because you are told) "30 pounds which will cost $4.05 per pound"
 2 years ago

feedmemikeyBest ResponseYou've already chosen the best response.0
So I multiply $4.05 until I get $30?
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
so we multiply to get the total cost. it must be \[4.05]\times 30 =\$121.50\]
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
no you multiply the cost per pound times the number of pounds
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
you know you have 30 pounds you know it cost $4.05 per pound so you know the total cost will be $121.50 by multiplication
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
so we actually know what the total cost is, it is number we can compute
 2 years ago

feedmemikeyBest ResponseYou've already chosen the best response.0
What do they want me to find? The amount (moneywise) it takes for raisins to get to 30 lbs.?
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
on the other hand, we have an expression for the cost of the raisins. that expression is \[5x\] and we also have an expression for the total cost of the peanuts, that expression is \[3.80(30x)\] so another expression for the total of both is what you get when you add them up namely \[5x+3.80(30x)\]
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
no go back and make sure you remember what the problem is asking for "how many pounds..."
 2 years ago

feedmemikeyBest ResponseYou've already chosen the best response.0
This is much too complicated for me, I'm sorry.
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
so we have two expressions for the total cost, one is \[5x+3.80(30x)\] the other is 121.50 so write \[5x+3.08(30x)=121.50\] and solve for x
 2 years ago

feedmemikeyBest ResponseYou've already chosen the best response.0
Like I said, I stopped progressing in math at 6th grade. I'm technically in 11th grade now.
 2 years ago

satellite73Best ResponseYou've already chosen the best response.1
ok well all the steps are there, that is i wrote them all down. if you have time see if you can understand what the steps entail and why they work the way they do on the other hand if you cannot solve the above equation we are truly stuck. good luck
 2 years ago

feedmemikeyBest ResponseYou've already chosen the best response.0
I'm sorry for wasting your time. I'm a dead end when it comes to math :(
 2 years ago
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