### Home > INT1 > Chapter 8 > Lesson 8.1.3 > Problem8-46

8-46.

Lisa is weighing combinations of children’s blocks. She forgot to write down the weights, but thinks that she remembers them correctly. Four blue blocks and five red blocks weigh $17$ ounces. One blue block and eight red blocks weigh $38$ ounces. What is the combined weight of one red block and one blue block? Does your answer make sense in the situation? Why or why not?

Write two equations using the variable $x$ for the weight of the blue blocks in ounces and the variable $y$ for the weight of the red blocks in ounces.

Solve the system of equations. Don't forget to answer the original question.