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Mr. Delaney broke his piggy bank with a sledgehammer and found that only contain quarters and pennies. if you had a total of 120 coins for a combined value of $16.32 how many pennies does he have his piggy bank?

Respuesta :

beingteenowfmao

Answer: 57 pennies and 63 quarters

Step-by-step explanation:

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The number of pennies he has in his piggy bank p = 57.

How to estimate the number of pennies he has in his piggy bank?

Let, q be the quarters and p be the pennies.

Here, p + q = 120

p + 25q = 16.32 .........(1)

(- p) + (- q) = - 120 .........(2)

Adding both the above equations, we get

(p + 25q = 16.32) + ((- p) + (- q) = - 120)

Simplifying the above equation we get

24q = 1512

q = 1512/24

q = 63.

Therefore, the value of q = 63.

Where, q = 63

if p + q = 120

p + 63 = 120

p = 120 - 63

the value of p = 57.

Therefore, the value of p = 57 and q = 63.

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