SOLUTION: At a high school baseball game, G.O. members paid $3.50 each and non-members paid $5.00 each. There were 20 more G.O. members at the game than non-members. If the total receipts wa

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Question 1149429: At a high school baseball game, G.O. members paid $3.50 each and non-members paid $5.00 each. There were 20 more G.O. members at the game than non-members. If the total receipts was $750, how many tickets of each kind were sold?

Answer by MathLover1(20850) About Me  (Show Source):
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At a high school baseball game, G.O. members paid $3.50 each and non-members paid $5.00 each. There were 20 more G.O. members at the game than non-members. If the total receipts was $750, how many tickets of each kind were sold?
let G.O. members tickets be x and non-members tickets y
given:
G.O. members paid $3.50 each =>3.50x
non-members paid $5.00 each=>5.00y
if the total receipts was $750, we have
3.50x%2B5.00y=750.......eq.1
if there were 20 more G.O. members at the game than non-members, we have
x=y%2B20........eq.2-> substitute in eq.1
3.50%28y%2B20%29%2B5.00y=750.......eq.1....solve for y
3.50y%2B70%2B5.00y=750
8.50y=750-70
8.50y=680
y=680%2F8.50
y=80->the number of non-members tickets
then
x=y%2B20........eq.2
x=80%2B20
x=100->the number of G.O. members tickets
check:
3.50x%2B5.00y=750.......eq.1
3.50%2A100%2B5.00%2A80=750
350%2B400=750
750=750