SOLUTION: A piggy bank contains 36 coins that consists of dimes and quarters totaling $5.85. How many quarters are in the piggy bank? In your final answer, include all necessary calculations
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Question 1089145: A piggy bank contains 36 coins that consists of dimes and quarters totaling $5.85. How many quarters are in the piggy bank? In your final answer, include all necessary calculations.
Let x be dimes, and y be quarters. Then:
x + y =36
.1x + .25y = 5.86
I can not figure what to do next What ever I tried diies not work out Answer by ikleyn(52778) (Show Source):
You can put this solution on YOUR website! .
A piggy bank contains 36 coins that consists of dimes and quarters totaling $5.85. How many quarters are in the piggy bank?
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D + Q = 36, (1) (D = # of dimes; Q = # of quarters)
0.1D + 0.25Q = 5.85. (2)
From equation (1), express D = 36 - Q and substitute it into equation (2). You will get
0.1*(36-Q) + 0.25Q = 5.85.
Thus you got a single equation for single unknown Q. Simplify and solve for Q:
3.6 - 0.1Q + 0.25Q = 5.85,
0.15Q = 5.85 - 3.6,
0.15Q = 2.25 ====> Q = = 15.
Answer. 15 quarters and 36 - 15 = 21 dime.
Check. 15*25 + 21*10 = 585 cents. ! Correct !
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