### Home > PC3 > Chapter 10 > Lesson 10.2.1 > Problem10-117

10-117.

A knife and two spoons weigh two ounces more than three forks. Two knives and a fork weigh seven ounces more than four spoons. A knife, four spoons, and two forks weigh eight ounces.

1. Set up the appropriate system of equations to solve this problem.

Change each sentence to an equation. Be sure to define your variables.
For example, the first sentence could become $k + 2s = 2 + 3f$.

2. Solve the system using matrices to determine the weight of each utensil.

Before writing your matrix equation, make sure all of your equations have all of the variable on the left and the constant term on the right.