Question

Three pumpkins and two squash weigh 27.5 pounds. Four pumpkins and three squash weigh 37.5 pounds. Each pumpkin weighs the same as the other pumpkins, and each squash weighs the same as the other squash. How much does each pumpkin weigh? How much does each squash weigh?

Answer 1

Answer:

3p + 2s = 27.5

3p + 2s = 27.54p + 3s = 37.5

Multiplies first equation by 4 and second equation by -3

12p + 8s = 110

12p + 8s = 110-12p + -9s = -112.5

12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.5

12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.53p + 2(2.5) = 27.5

12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.53p + 2(2.5) = 27.53p +5 = 27.53p = 22.5p = 7.5

pumpkins weigh 7.5 pounds and squash weighs 2.5 pounds

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