A new club sent out 231 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?

Number of coupons sent to Existing members = 33

Step-by-step explanation:

Number of coupons sent out = 231

Let:

6 times as many to potential members = 6 * X = 6X

while existing members = X

therefore 6X + X = 231

7X = 231

therefore X = 231 / 7 = 33

so existing members = 33

while potential members = 6 * 33 = 198

33 coupons were sent to existing members

Step-by-step explanation:

231 coupons in total for both existing and new members

6 times as much for the existing members than previous ones.

Let existing members be X

New members will be 6x

Den 6X + X = 231

7X=231

X=33