+790 Portia has 9 more pennies than quarters. Altogether she has 2.95 in pennies and quarters. How many of each coin does Portia have
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
