Answered



Byron has 72 coins in his piggy bank. The piggy bank contains only dimes

and quarters. If he has $14.70 in his piggy bank, which equation can be

used to determine q, the number of quarters he has?

(1) 14.70 + 0.25q = 72

(2) 0.10(q - 72) + 0.25q = 14.70

(3) 0.10(72 - q) + 0.25q = 14.70

(4) 0.10q + 0.25(72 - q) = 14.70

Verified Answer :

  1. 25 cents per quarter, and then the reamaining amount ids dimes, which are 10 cents apeice.

Answer:

(3) \(0.25q+0.10(72-q)=14.70\)

Step-by-step explanation:

Let d represent number of dimes and q represent number of quarters.

We have been given that Byron has 72 coins in his piggy bank. We can represent this information in an equation as:

\(q+d=72...(1)\)

We are also told that the value of all coins is $14.70.

Value of d dimes: \(0.10d\).

Value of q quarters: \(0.25q\).

\(0.25q+0.10d=14.70...(2)\)

From equation (1), we will get:

\(d=72-q\)

Substitute this value in equation (2):

\(0.25q+0.10(72-q)=14.70\)

Therefore, the equation \(0.25q+0.10(72-q)=14.70\) can be used to determine q, the number of quarters.

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