A new club sent out 288 coupons to boost sales for next year's memberships. They provided 5 times as many to potential members than to existing members. How many coupons did they send to existing members? A.
6
B.
5
C.
53
D.
48

D. 48

Step-by-step explanation:

We don't know the numbers of coupons sent to existing members and to potential members, but we know a relationship between the number.

They sent 5 times as many coupons to potential members as they did to existing members.

Let x = number of coupons sent to existing members.

Then 5x = number of coupons sent to potential members.

The total number of coupons sent was x + 5x = 6x

The total number of coupons sent was 288.

Therefore, 6x must equal 288 giving us an equation with a single variable.

6x = 288

x = 48

48

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