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A girl has 8 coins in dimes and quarters. Their value is $1.55. How many quarters does she have?
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d+q=8 .10d+.25q=1.55
Diagram method. 1. Draw 8 circles, representing 8 coins A coin must at least carry a value of 10 cents. 2. Draw 1 leg for 10 cents onto every circle. Draw the remaining legs until the value reaches $1.55. (3 legs for a quarter)
d=8-q from the first equation. Replace d with 8-q in the second equation and solve.
I still like my method better :)
.10(8-q)+.25q=1.55 10(8-q)+25q=155 80-10q+25q=155 15q=75 q=5 d=3
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thanks alot
your welcome :)
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