Question

PLEASE HELP ASAP

A community center serves a large Thanksgiving dinner for people in need. 100 people attend the dinner, and 80 pounds of turkey are eaten. The organizers estimate that each adult eats 1 pound of turkey and each child eats 1/2 pound of turkey. How many adults and how many children attended the dinner? Use a system of equations to solve.

Answer 1

100 - 80 = 20

So 20lbs of turkey was eaten by kids, which means 60lbs was eaten by the adults

20 × 2 = 40

There are 40 kids

60 × 1 = 60

There are 60 adults

Answer 2

The number of adults and children who attended the dinner is 60 and 40 respectively.

How many adults and how many children attended the dinner?

Let

Number of adults = x

Number of children = y

x + y = 100. (1)

x + 1/2y = 80. (2)

Subtract (2) from (1)

y - 1/2y = 100 - 80

1/2y = 20

Divide both sides by 1/2

y = 20 ÷ 1/2

y = 20 × 2/1

y = 40

Substitute y into (1)

x + y = 100

x + 40 = 100

x = 100 - 40

x = 60

Therefore, x equals 60 and y equals 40