Question

Arianna and Hansen are hosting events that are catered by the same company. Arianna plans to have 65 adults and 56 children attend, so the total projected cost of her meals is $3,003. Hansen has 86 adults and 62 children on his guest list, so he will pay the caterer $3,816. How much does the caterer charge for each meal? Choose the correct system of equation given that A stands for adults and C stands for children.

Answer 1

C = $13

A = $35

Explanation:

The computation is shown below:

Let us assume the Adults be A

And children be C

So the first equation would be

65A + 56C = $3,003

And, the second equation is

86A + 62C = $3,816

Now multiply by 86 in equation 1 and 65 in equation 2

5,590A + 4,816C = $258,258

5,590A + 4,030C = $248,040

786C = 10,218

C = $13

And A is

65A + 56($13) = $3,003

65A + $728 = $3,003

65A = $3003 - $728

65A = $2,275

A = $35