Question

The Meyers, Kaplinsky, and Emdin family went to the county fair as a get-together. The Meyers family purchased 4 juice boxes and 2 BBQ sandwiches for $16. The Kaplinsky purchased 4 juice boxes and 3 BBQ sandwiches for $21. The Emdin family showed up late to the county fair and purchased 3 juice boxes and 3 BBQ sandwiches. How much money did the Emdin family spend on their meal?

Answer 1

The Emdin family spent $19.5 on their meal

Explanation:

Let

Juice boxes=x

BBQ sandwiches =y

The Meyers family purchased 4 juice boxes and 2 BBQ sandwiches for $16.

4x+2y=16

The Kaplinsky purchased 4 juice boxes and 3 BBQ sandwiches for $21.

4x+3y=21

4x+2y=16 (1)

4x+3y=21 (2)

Subtract (1) from 2

3y-2y=21-16

y=5

Substitute the value of y into (1)

4x+2y=16

4x+2(5)=16

4x+10=16

4x=16-10

4x=6

Divide both sides by 4

x=6/4

=1 2/4

=1 1/2

x=1.5

The Emdin family showed up late to the county fair and purchased 3 juice boxes and 3 BBQ sandwiches

3x+3y

Substitute the values of x and y

= 3(1.5)+3(5)

= 4.5 + 15

= $19.5

The Emdin family spent $19.5 on their meal