### Home > CCA2 > Chapter 4 > Lesson 4.1.4 > Problem 4-51

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.

4*c* + 5*p* = 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.