SOLUTION: Jessica went to the bank to get $20 worth of dimes and quarters. The teller made a
mistake, interchanging the number of dimes and quarters Jessica asked for. How
many dimes and q
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mistake, interchanging the number of dimes and quarters Jessica asked for. How
many dimes and q
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Question 230776: Jessica went to the bank to get $20 worth of dimes and quarters. The teller made a
mistake, interchanging the number of dimes and quarters Jessica asked for. How
many dimes and quarters had she asked for if the teller gave her $9 too much? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Jessica went to the bank to get $20 worth of dimes and quarters.
The teller made a mistake, interchanging the number of dimes and quarters Jessica asked for.
How many dimes and quarters had she asked for if the teller gave her $9 too much?
:
Let d = no. of dimes asked for
Let q = no. of quarters asked for
:
Two equations:
.10d + .25q = 20
.25d + .10q = 29
:
Multiply the 1st equation by 5, multiply the 2nd equation by 2
.50d + 1.25q = 100
.50d + .20q = 58
-------------------Subtraction eliminates d, find q
1.05q = 42
q =
q = 40 quarters asked for
then
.10d + .25(40) = 20
.10d + 10 = 20
.10d = 20 - 10
d =
d = 100 dimes
;
:
Check solutions in the 2nd equation
.25(100) + .10(40) =
25 + 4 = 29
