Let's call the cost of the child buffet "C" and the cost of the adult buffet "A."
From the problem, we can set up two equations:
2C + 2A = 92 (equation 1)
4C + 2A = 128 (equation 2)
We can solve this system of equations by subtracting equation 2 from equation 1:
(2C + 2A) - (4C + 2A) = 92 - 128
2C - 4C = -36
-2C = -36
C = (-36)/(-2)
C = 18
Plugging the value of C back into equation 1:
2(18) + 2A = 92
36 + 2A = 92
2A = 92 - 36
2A = 56
A = 56/2
A = 28
Therefore, each child buffet costs $18 and each adult buffet costs $28.
Tanvi is a server at an all-you-can eat sushi restaurant. At one table, the customers ordered 2 child buffets and 2 adult buffets, which cost a total of $92. At another table, the customers ordered 4 child buffets and 2 adult buffets, paying a total of $128. How much does the buffet cost for each child and adult?
1 answer