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 hot dogs and bags of popcorn were purchased?

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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 hot dogs and bags of popcorn were purchased?

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Answer 1 · 2015-10-10T20:33:27

I found:
#27# hot dogs
#13# bags of popcorn

Explanation:

Call the number of hot dogs #h# and popcorn #p#;
you have:
#{(h+p=40),(2.25h+1.75p=83.5):}#
from the first you have:
#h=40-p# substitute into the second:
#2.25(40-p)+1.75p=83.5#
#90-2.25p+1.75p=83.5# rearranging:
#0.5p=6.5#
#p=6.5/0.5=13#
substitute back into: #h=40-p#
#h=40-13=27#

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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 hot dogs and bags of popcorn were purchased?

1 Answer

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