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If a piggybank contains 3.80 in dimes and quarters and there are 20 coins in all what is the formula for how many dimes there are?
Wiki User
∙ 15y ago
let x be number of dimes
let y be the number of quarters
10x+25y=380
x+y=20
now we need to manipulate so we can isolate for one variable.
y=20-x now we sub into y
10x+25(20-x)=380
expand the expression
10x+500-25x=380
-15x=-120
x=8 therefore there are 8 dimes
8+y=20
y=12 therefore there are 12 quarters
Wiki User
∙ 15y ago
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