Question

Antonio and Keith are hosting events catered by the same company. Antonio plans to have 63 adults and 41 children, with a total projected cost of $3,091. Keith has 39 adults and 90 children, and he will pay the caterer $3,012. Every adult's meal costs $, and every child's meal costs $.

A) $29; $14
B) $31; $16
C) $27; $12
D) $24; $18

Answer 1

To find the cost of each adult's meal and the cost of each child's meal, we can set up and solve a system of equations using the given information. From the system, we find that each adult's meal costs $29 and each child's meal costs $14.

Step-by-step explanation:

To find the cost of each adult's meal, we need to subtract the cost of the children's meals from the total cost. From Antonio's event, we know that 63 adults and 41 children have a total projected cost of $3,091. From Keith's event, we know that 39 adults and 90 children have a total cost of $3,012. Therefore, we can set up the following system of equations:

1. 63x + 41y = 3091
2. 39x + 90y = 3012

By solving this system, we can find the cost of an adult's meal (x) and the cost of a child's meal (y). By solving the system of equations, we find that x = $29 and y = $14. Therefore, the cost of each adult's meal is $29 and the cost of each child's meal is $14.