Answer:
36 coupons.
Step-by-step explanation:
Let x represent number of coupons provided to existing members.
We have been given that a new club provided 6 times as many potential members than existing members. So coupons provided to potential members would be [tex]6x[/tex].
We are also told that the club out 252 coupons to boost sales for next years memberships. So total number of coupons should be equal to 252.
[tex]x+6x=252[/tex]
[tex]7x=252[/tex]
[tex]\frac{7x}{7}=\frac{252}{7}[/tex]
[tex]x=36[/tex]
Therefore, 36 coupons were sent to existing members.