Question

An online retailer processed 60 merchandise return requests from Wyoming and Montana in a day. Return requests from Montana were 5 times as many as those from Wyoming. How many return requests were from Wyoming?
A) 10
B) 25
C) 15
D) 20
E) 5

Answer 1

The answer is A.10 because five times 10 is equal to 50

Answer 2

The number of merchandise return requests for Wyoming is equal to 10.

Let merchandise return requests from Wyoming be W.

Let merchandise return requests from Montana be M.

Given the following data;

• Total number of merchandise return requests for W and M = 60

Translating the word problem into an algebraic equation, we have;

$W + M = 60$  .....equation 1

$M = 5W$        ......equation 2

To find the value of W, we would solve the system of equations by using the substitution method;

Substituting eqn 2 into eqn 1, we have;

$W + 5W = 60\\\\6W = 60\\\\W = \frac{60}{6}$

Wyoming, W = 10 merchandise return requests.

Therefore, the number of merchandise return requests for Wyoming is equal to 10.

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