Question

Joe has a bag of blocks. 3 red blocks and 2 blue blocks weigh 24 ounces while 1 red block and 3 blue blocks weigh 16 ounces. Define your variables and set up a system of equations. DO NOT SOLVE.

Answer 1

Answer: 3r + 2b = 24

r + 3b = 16

Explanation:

Let the red blocks be represented by r

Let blue blocks be represented by b

Since 3 red blocks and 2 blue blocks weigh 24 ounces. This will be:

3r + 2b = 24

1 red block and 3 blue blocks weigh 16 ounces. This will be:

r + 3b = 16

Therefore, the equation will be:

3r + 2b = 24

r + 3b = 16