Question

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
A. 3q + 3
B. 6.35 - q
C.10(3q + 3)

Answer 1

Answer:

11

10(3q+3)

Step-by-step explanation:

Let the number of dimes =p and number of quarters =q

Hence, by the given condition, p=3q+3 ......(1)

Now, 1 dime = 0.1$ and 1 quarter = 0.25$.

Hence, 0.1p+0.25q =6.35

⇒p +2.5q=63.5 ........(2)

Now solving (1) and (2) we get, 3q+3=63.5-2.5q

⇒ 5.5q =60.5

⇒ q=11 and from (1), p= 3*11+3 =36

Therefore, number of dimes is 36 and number of quarters is 11. (Answer)

Again, the value of the number of dimes is given by 10(3q+3). {From equation (1).

(Answer)