deliguz44
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Brianna is packing to go to college she passed 6 Nintendo switch games and 9 textbooks in a box the total weight of the box is 21 pounds realizing the box still had room and how strong she is she put two more games in the box the new weight of the box is 22 pounds.

So what is the weight of one textbook, and what is the weight of one game?

I will mark as BRANLIEST!!

Respuesta :

altavistard

Answer:

Game:  1/2 lb; Textbook:  2 lb

Step-by-step explanation:

Let the weights of game and textbook be g and t respectively.

Then 6g + 9t = 21 (pounds), and

8g + 9t = 22 (pounds)

Eliminate the variable t by subtracting the first equation from the second.  We get:

2g = 1 (pounds)

Thus, 1 game weights 1/2 lb.

Since 6g + 9t = 21, and g = 1/2 lb,

3 + 9t = 21, or 9t = 18

Then t = 18/9.  1 textbook weighs 2 lb

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