Question

Rick and Tom rented party halls. The Celebrations party hall charged Rick a rental fee of $65, including music, and $25 per guest. The Feast party hall charged Tom a rental fee of $40, $25 for music, and $25 per guest.

If each of them spent the same amount of money, how many guests attended Rick and Tom's party?

A.
Five more guests attended Rick's party than Tom's party.
B.
Fifteen more guests attended Tom's party than Rick's party.
C.
The same number of guests attended Rick and Tom's party.
D.
Twenty-five more guests attended Rick's party than Tom's party.

Answer 1

C. The same number of guests attended Rick and Tom's party.

Explanation:

Let R and T represent the number of guests at Rick's and Tom's parties, respectively. The charges Rick and Tom paid are equal, so we have ...

65 +25R = 40+25+25T

25R = 25T . . . . . . . . . . . . subtract 65

R = T . . . . . . . . . . . . . . . . . divide by 25

The number of guests at each party is the same.