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Suppose the band sells cans of popcorn for $5 per can ans cans of mixed nuts for $8 per can. The band sells a total of 240 cans and receives a total of $1614. Find the number of…

Suppose the band sells cans of popcorn for $5 per can ans cans of mixed nuts for $8 per can. The band sells a total of 240 cans and receives a total of $1614. Find the number of…
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suppose the band sells cans of popcorn for $5 per can ans cans of mixed nuts for $8 per can. The band sells a total of 240 cans and receives a total of $1614. Find the number of cans of mixed nuts sold

User Aram Becker
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1 Answer

3 votes
Can of popcorn = P
Can of mixed nuts = M
M+P = 240...eqn 1
5P +8M = 1614...eqn 2
Eqn 1 by 5...5M+5P=1200...eqn3
Eqn 2 - eqn 3: 3M = 414
Thus M = 138
Subst for M in eqn 1: 138 +P = 240
Thus P = 102

102 cans of popcorn sold
138 cans of mixed nuts sold
User Takepara
by
8.7k points
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