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
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