Question 928074: 1.) A piggy bank contains only quarters and dimes. There are 99 coins with a total value of of $13.65. Determine the number of quarters and dimes.
2.) The bulk barn sells orange flavoured gummy bears at $7.29/kg and apple flavoured gummy bears at $7.59/kg. How much of each type must be mixed to obtain a mass of 25kg that sells at $7.39/kg? Give your answer correct to 2 decimal points, if necessary.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! A piggy bank contains only quarters and dimes.
let q = no. of quarters
let d = no. of dimes
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There are 99 coins
q + d = 99
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with a total value of of $13.65.
.25q + .10d = 13.65
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Determine the number of quarters and dimes.
We can use elimination here. multiply the 2nd equation by 10, subtract the 1st equation
2.5q + d = 136.5
q + d = 99
-----------------Subtraction eliminates d, find q
1.5q = 37.5
q = 37.5/1.5
q = 25 quarters
I'll let you find the no. of dimes, check your solutions for q & d in the $$ equation
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2.) The bulk barn sells orange flavoured gummy bears at $7.29/kg and apple flavoured gummy bears at $7.59/kg.
How much of each type must be mixed to obtain a mass of 25kg that sells at $7.39/kg? Give your answer correct to 2 decimal points, if necessary.
:
let x = amt of apple g.b required
the results is to be 25 kg, therefore
(25-x) = amt of orange g.b
:
A typical mixture equation
7.59x + 7.29(25-x) = 7.39(25)
You should be able to solve this yourself now.
Let me know if you have difficulty. ankor@att.net
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