50 coupons were sent to existing members.
Step-by-step explanation:
Given,
Coupons sent = 250
Let,
Coupons sent to potential members = x
Coupons sent to existing members = y
According to given statement;
x+y=250 Eqn 1
They provided 4 times as many to potential members than to existing members.
x=4y Eqn 2
Putting value of x from Eqn 2 in Eqn 1;
[tex]4y+y=250\\5y=250[/tex]
Dividing both sides by 5
[tex]\frac{5y}{5}=\frac{250}{5}\\y=50[/tex]
50 coupons were sent to existing members.
Keywords: linear equation, division
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