Three people went to lunch. Me. Anderson spent a total of $13 on one entrée and 2 sides. Mr. Allen spent a total of $19.50 on 2 entrée and 1 side. If the lunch special made each entrée the same price (as the other entrées) and each side the same price (as the other sides), how much did hungry Mr. Greene spend in 3 entrées and 2 sides? Set up a linear systems and solve

Question

Lilly Pope

Mathematics

29 April, 08:09

Three people went to lunch. Me. Anderson spent a total of $13 on one entrée and 2 sides. Mr. Allen spent a total of $19.50 on 2 entrée and 1 side. If the lunch special made each entrée the same price (as the other entrées) and each side the same price (as the other sides), how much did hungry Mr. Greene spend in 3 entrées and 2 sides? Set up a linear systems and solve

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Answers (1)

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Humberto Hansen · Answer 1

Mr. Anderson

x = entree

y=side

1x+2y=13.00

solve x then plug in into Mr. Allens equation (2x+1y=19.50)

x=13-2y

plug

2 (13-y) + y=19.50

26-4y+y=19.50

y=2.17

plug y in to get x x+2 (2.17) = 13, solve x=8.66

Mr Greene

3x+2y

3 (8.66) + 2 (2.17) = 30.32