Question

A group of 40 children attended a baseball game on a field trip. Each child received either a hot dog or a bag of popcorn. Hot dogs were $2.25 and popcorn was $1.75. If the total bill was $83.50, how many hotdogs and bags of popcorn were purchased?

Write the equations for the situation above. (Use the variable x for hotdogs and y for popcorn)

Answer 1

See Explanation

Explanation:

`x+y=40\\2.25x+1.75y=83.5\\`

from the first you have

`h=40-p` substitute into the second:

`2.25(40-p)+ 1.75x= 83.5\\90-2.25y+1.75x= 83.5`remaining

`0.5y=6.5\\p= (6.5)/(0.5) =13\\`

substitute back into
`h= 40 - y\\h = 40 - 13 = 27`

Hope this helped :)