Question

Piggy Bank

William's piggy bank contains some quarters and some dollar bills.
o = the number of quarter coins in the piggy bank.
d = the number of dollar bills in the piggy bank.
The following two equations are true
59=d
80 +d=91

Answer 1

see the explanation

Explanation:

The correct question in the attached figure

Let

q ----> the number of quarter coins in the piggy

d ----> the number of dollar bills in the piggy

we have

`5q=d` ----> equation A

`8q+d=91` ----> equation B

Solve the system by substitution

substitute the value of d of equation A in equation B

`8q+(5q)=91`

solve for q

combine like terms

`13q=91`

divide by 13 both sides

`q=7`

Find the value of d

`d=5(7)=35`

therefore

The number of quarter coins in the piggy is 7 and the number of dollar bills in the piggy is 35

The total value in the piggy is

`\$0.25(7)+\$35=\$36.75`