Question

A new club sent out 315 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.
7
B.
6
C.
45
D.
51

Answer 1

Let's denote the number of coupons sent to existing members as \( x \). According to the problem, the number of coupons sent to potential members is 6 times that, which can be represented as \( 6x \).

The total number of coupons sent is the sum of those sent to existing and potential members:
\[
x + 6x = 315
\]
This simplifies to:
\[
7x = 315
\]

Now, we can solve for \( x \):
\[
x = \frac{315}{7} = 45
\]

Therefore, the number of coupons sent to existing members is \( x = 45 \).

The answer is **C. 45**.