Walt and Hank collect quarters from different states. Walt collected q quarters. Hank collected four fewer quarters than Walt. The combined dollar value of their coins was $17.50. The following equation represents the situation.

0.25q + 0.25 (q - 4) = 17.50

How many quarters does Walt have?

A.

33 quarters

B.

35 quarters

C.

37 quarters

D.

43 quarters

Question

Greyson Phillips

Mathematics

29 July, 01:31

Walt and Hank collect quarters from different states. Walt collected q quarters. Hank collected four fewer quarters than Walt. The combined dollar value of their coins was $17.50. The following equation represents the situation.

0.25q + 0.25 (q - 4) = 17.50

How many quarters does Walt have?

A.

33 quarters

B.

35 quarters

C.

37 quarters

D.

43 quarters

+2

Answers (1)

Know the Answer?

Hallie · Answer 1

Walt has 37 quarters. Hank has 33.

Step-by-step explanation:

Solve the given equation for q:

0.25q + 0.25q - 1.00 = 17.50

Simplify this, obtaining:

0.50q = 18.50

Simplifying this by multiplying both terms of this result by 100:

50 q = 1850

Thus, q = 1850/50 = 37

Walt has 37 quarters. Hank has 33.

Note that 37 + 33 = 70, and that 70 ($0.25) = $17.50. So our results are correct.