Question

A new club sent out 273 coupons to boost sales for next year's memberships. They provided 6 times as many to potential members than to existing members. How many coupons did they send to existing members?

A. 39
B. 6
C. 7
D. 45

Answer 1

By setting up an equation and solving for the number of coupons sent to existing members, we have determined that the club sent out 39 coupons to existing members, making the correct answer A. 39.

Step-by-step explanation:

To determine the number of coupons sent to existing members, we need to set up an equation based on the information provided. We are told that the club sent 6 times as many coupons to potential members as to existing members and the total number of coupons sent out is 273.

Let x represent the number of coupons sent to existing members. Then the number of coupons sent to potential members is 6x.

The total amount of coupons is given by the sum of the coupons for existing members and potential members:

x + 6x = 273

Combining like terms, we have:

7x = 273

To find the value of x, we divide both sides of the equation by 7:

x = 273 ÷ 7

x = 39

Therefore, the club sent 39 coupons to existing members. The correct answer is A. 39.