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

Answer 1

Answer with explanation:

1 Dime(D) = 0.10$,

1 Quarter(q)= 0.25$

Total number of Dimes and Quarters in all = $ 6.35

q= Number of Quarters

Number of Dimes =D=3 q +3

Expressing the above statement in terms of Equation:

→0.10 D +0.25 q=6.35

→10 D + 25 q=635-------(1)

→D - 3 q =3

Multiplying both sides by, 10

→ 10 D - 30 q =30---------(2)

Equation (2) - Equation (1)

25 q +3 0 q= 635 -30

55 q = 605

Dividing both sides by ,55 we get

q=11

D= 3 × 11+3

  =33 +3

D=36

→The number of dimes is three more than three times the number of quarters.

D= 3 + 3 q

Answer 2

The total amount of x values of dimes and q values of quarters is equal to 6.35. From the given, the number of dimes may also be expressed as, 3q + 3. The equation that best represent the given is, 
                                          (3q + 3)(0.1) + q(0.1) = 6.35