@cphill please help Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

A camp counselor for a summer day camp sometimes buys lunch for her campers at a nearby fast food restaurant. On Monday, she purchased 4 hamburger kid meals and 3 chicken nugget kid meals, for a total of $23. On Thursday, she spent $34 on 2 hamburger kid meals and 6 chicken nugget kid meals. How much does each type of meal cost?

Each hamburger meal costs $___, and each chicken nugget meal costs $___.

Guest Jan 26, 2021

#1**+1 **

Let x be the cost of the hamburger meal and y be the cost ofthe chicken nugget meal

We have this system

4x + 3y = 23 (1)

2x + 6y = 34 divide through by 2 ⇒ x + 3y = 17 ⇒ x = 17 - 3y (2)

Sub (2) into (1) for x

4 ( 17 - 3y) + 3y = 23

68 - 12y + 3y = 23

68 - 9y = 23

9y = 68 -23

9 y = 45

y = 45/9 = 5 (dollars ) = cost of chicken nuggets meal

x = 17 - 3(5) = 17 -15 = 2 (dollars) = cost of hamburger meal

CPhill Jan 26, 2021