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

Respuesta :

Answer:

see the explanation

Step-by-step 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

[tex]5q=d[/tex] ----> equation A

[tex]8q+d=91[/tex] ----> equation B

Solve the system by substitution

substitute the value of d of equation A in equation B

[tex]8q+(5q)=91[/tex]

solve for q

combine like terms

[tex]13q=91[/tex]

divide by 13 both sides

[tex]q=7[/tex]

Find the value of d

[tex]d=5(7)=35[/tex]

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

[tex]\$0.25(7)+\$35=\$36.75[/tex]

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