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4-51.

Gloria is weighing combinations of geometric solids. She found that 4 cylinders and 5 prisms weigh 32 ounces and that 1 cylinder and 8 prisms weigh 35 ounces. Write and solve a system of equations to determine the weight of each cylinder and prism. Homework Help ✎

Let c = the weight of a cylinder and p = the weight of a prism.

Translate the phrase '4 cylinders and 5 prisms weigh 32 ounces' directly into an equation.

4c + 5p = 32

Write an equation for the phrase '1 cylinder and 8 prisms weigh 35 ounces'.

You can use the Elimination Method here. One way to start is to multiply the second equation by −4.