SOLUTION: A group of the friends share cost of their party. If each pays $42, there is surplus of $19.If each pays $40, the total is short of $8. How much does the party cost?

Question 356732: A group of the friends share cost of their party. If each pays $42, there is surplus of $19.If each pays $40, the total is short of $8. How much does the party cost?
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
42x>y+19
40x -------------
2x=27
x=$13.5 cost per person.
Proof:
42*13.5>y+19
40*13.5 -------------------
(42+40)13.5=2y+11
82*13.5=2y+11
1107=2y+11
2y=1107-11
2y=1096
y=1096/2
y=$548 cost of the party.
Proof:
42*13.5>548+19
567>567
540<548-8
540<540
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