Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Discover in-depth answers to your questions from a wide network of experts on our user-friendly Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.


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


Sagot :

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.