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?

Your  answer is 11 quarters and 36 dimes.

Step-by-step explanation:

6.35= 635 cents- 3 dimes= 605 cents.

11 quarters= 275. 33 dimes= 330

275+330= 605

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

domain is all the x values included in the

0 ≤ x ≤ 2

range is all the y values of the graph

-2 ≤ y ≤ 2

***keep in mind that there are different ways to show domain and range

hope this !

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