Question

Laura has $4.50 in dimes and quarters. She has 3 more dimes than quarters. How many quarters does she have?

A. 3 quarters
B. 4 quarters
C. 5 quarters
D. 6 quarters

Answer 1

Laura has 12 quarters.

Step-by-step explanation:

Let's start by setting up equations to represent the given information:

Let's assume the number of quarters is q.

According to the problem, the number of dimes is 3 more than the number of quarters, which can be represented as q + 3.

The value of quarters can be calculated by multiplying the number of quarters by $0.25, so the value of quarters is 0.25q.

The value of dimes can be calculated by multiplying the number of dimes by $0.10, so the value of dimes is 0.10(q + 3).

Now we can set up an equation to represent the total value of the dimes and quarters:

0.25q + 0.10(q + 3) = 4.50

Simplifying this equation, we get:

0.25q + 0.10q + 0.30 = 4.50

Combining like terms, we have:

0.35q + 0.30 = 4.50

Subtracting 0.30 from both sides of the equation:

0.35q = 4.20

Dividing both sides of the equation by 0.35:

q = 12

Therefore, Laura has 12 quarters.