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Leokris [45]
3 years ago
11

will has $1.67 in pennies and quarters. His number of pennies is five more than twice the number of quarters. How many pennies d

oes he have?
Mathematics
1 answer:
Yuliya22 [10]3 years ago
3 0

p = pennies


q= quarters


p = 2q+5   (1)


.25q+.01p=1.67   (2)


substitute  the equation for pennies (1) into the 2nd equation


.25q+.01(2q+5)=1.67


distribute


.25q +.02q +.05 = 1.67


combine like terms


.27q +.05 =1.67


subtract .05 from each side


.27q = 1.62


divide by .27


q=6


p=2q+5


p=2(6)+5


p=12+5


p=17


There are 6 quarters and 17 pennies





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