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



Answer :

3. 25 cents per quarter, and then the reamaining amount ids dimes, which are 10 cents apeice.

Answer:

(3) [tex]0.25q+0.10(72-q)=14.70[/tex]

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:

[tex]q+d=72...(1)[/tex]

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

Value of d dimes: [tex]0.10d[/tex].

Value of q quarters: [tex]0.25q[/tex].

[tex]0.25q+0.10d=14.70...(2)[/tex]

From equation (1), we will get:

[tex]d=72-q[/tex]

Substitute this value in equation (2):

[tex]0.25q+0.10(72-q)=14.70[/tex]

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

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