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Portia has 9 more pennies than quarters. Altogether she has 2.95 in pennies and quarters. How many of each coin does Portia have

owlface13  Mar 2, 2017
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Portia has 9 more pennies than quarters. Altogether she has 2.95 in pennies and quarters. How many of each coin does Portia have.

 

Let the number of quarters =Q

Number of pennies =Q +9

 

0.25Q + 0.01[Q + 9] =2.95, solve for Q

0.25Q + 0.01Q + 0.09=2.95

0.26Q =2.86 divide both sides by 0.26

Q =2.86 / 0.26

Q =11 Number of quarters

11 + 9 =20 Number of pennies. So that:

[11 x 0.25] + 0.20 =$2.95

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