### Home > A2C > Chapter 10 > Lesson 10.1.2 > Problem10-41

10-41.

Victoria is playing with her balance scale and balances $3$ blue blocks and $2$ red blocks on one side with $5$ blue blocks and a red block on the other. Later, her brother balances 2 red blocks and a blue block with a 40-gram weight. How much does each block weigh?

Create a system of equations to solve the problem.

Where r is the weight of a red block, and b is the weight of a blue block:

$3b + 2r = 5b + r$

$2r + b = 40$