Question

Adele and Nellie are hosting events that are catered by the same company. Adele plans to have 94 adults and 45 children attend, so the total projected cost of her meals is $5,502. Nellie has 94 adults and 86 children on her guest list, so she will pay the caterer $6,404. How much does the caterer charge for each meal?

Answer 1

Meals for children cost $22 Meals for adults cost $48

Explanation:

let x = adults and y= children

Adele: 94x+45y=5502

Nellie: 94x+86y=6404

As you notice they both are catering the same amount of adults.

1. subtract 6404-5502=902

2. subtract 86-45=41

3. 41y=902 y=22

4. plug y into one of the two equations 94x+86(22)= 6404

5. solve the equation

94x+ 1892=6404 6404-1892=4512

94x=4512

x=48

Answer 2

about 35.58$

Explanation:

Im assuming that the adult and children meals are the same price. So you just have to add up the amount of children + adults and then divide that by the price of the caterers charge by the amount of people that come to the events.

So you get 35.58$ for each meal.

Hope this helps:)