Tyler has some red blocks and some green blocks. The total weight of 2 red blocks and 6 green blocks is 23 ounces The total weig

Question

3 years ago

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ht of 3 red blocks and 4 green blocks is 22 ounces What is the total weight of 1 red block and 1 green block?

1 answer:

bearhunter [10] · Answer 1 · 2022-07-30T10:08:45+03:00

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