Answer: the total weight of 1 red block is 4 ounces and 1 green block is 2.5 ounces.
Step-by-step explanation:
Let x represent the total weight of 1 red block.
Let y represent the total weight of 1 green block.
The total weight of 2 red blocks and 6 green blocks is 23 ounces. This means that
2x + 6y = 23 - - - - - - - - - 1
The total weight of 3 red blocks and 4 green blocks is 22 ounces. This means that
3x + 4y = 22- - - - - - - - - - 2
Multiplying equation 1 by 3 and equation 2 by 2, it becomes
6x + 18y = 69
6x + 8y = 44
Subtracting, it becomes
10y = 25
y = 25/10 = 2.5
Substituting y = 2.5 into equation 1, it becomes
2x + 6 × 2.5 = 23
2x + 15 = 23
2x = 23 - 15 = 8
x = 8/2 = 4
