Thomas has $6.35 in dimes and quarters. the number of dimes is three more than three times the number of quarters. how many quarters does he have?

if q represents the number of quarters, then which of the following expressions represents the value of the number of dimes in cents?

3q + 3
6.35 - q
10(3q + 3)

A: Thomas has 11 quarters.

B. Option C is the correct answer.

Step-by-step explanation:

Let q represents the number of quarters.

Let d represents the number of dimes.

Thomas has $6.35 in dimes and quarters.

1 dime= $0.10

1 quarter= $0.25

We get the equation:

 ......(1)

The number of dimes is three more than three times the number of quarters. Equation forms:

  ......(2)

Substituting the value of d in (1)

=>

=>

=>

=> q = 11

And

=> d = 36

Hence, Thomas has 11 quarters.

To know the expression that represents the value of the number of dimes in cents, we will multiply the number of dimes by 10  as 1 dime = 10 cents

=>

So, option C is correct.