Question

Bobby is bringing his collection of dimes and quarters to the bank to deposit into his savings account. If d represents the number of dimes in Bobby’s collection, q represents the number of quarters, and the collection is worth $63.75, which of the following equations models the value of Bobby’s collection?

A.
63.75 = d + q
B.
63.75 = 25d + 10q
C.
63.75 = 10d + 25q
D.
63.75 = 0.10d + 0.25q

Answer 1

0.10d + 0.25q = 63.75 <==

Answer 2

`63.75=0.10d+0.25q`

Explanation:

Let d represent the number of dimes and q represent the number of quarters in Bobby’s collection.

We have been given that Bobby is bringing his collection of dimes and quarters to the bank to deposit into his savings account.

We know that each dime is worth $0.10 and each quarter is worth $0.25.

So total worth of d dimes and q quarters would be
`0.10d+0.25q`.

We are also told that Bobby's collection is worth $63.75, so total worth of d dimes and q quarters will be equal to $63.75.

We can represent this information in an equation as:

`63.75=0.10d+0.25q`

Therefore, our required equation would be
`63.75=0.10d+0.25q` and option D is the correct choice.