A box containing 10 physics textbooks and 3 physics workbooks weighs 50.1 pounds. A box containing 8 physics textbooks and 12 physics workbooks weighs 51.9 pounds. The weight of each box when empty is 1.5 pounds. So how many does each textbook and each workbook weigh? Explain how u solved this problem.

10x + 3y + 1,5 = 50,1 * (- 4) ⇒ -40x-12y-6 = -200,4
8x + 12y + 1,5 = 51,9
combine
8x-40x+12y-12y+1.5-6=51.9-200.4 *(-1)⇔
32x+4.5=148.5
32x=148.5-4.5
x=144/32
x=4.5 (textbook)
10*4.5+3y+1.5=50.1
3y+46.5=50.1
3y=3.6
y=1.2 (workbook)

Answer Link

MubeenaD MubeenaD · Answer 2 · 2022-05-14T06:27:22+02:00

By using Algebraic expression, we find the weigh of each textbook is 4.5 and the weigh of each workbook is 1.2.

What is Algebraic Expression?

Algebraic Expression are "idea of expressing numbers using letters or alphabet without specifying the actual values".

According to the question,

Let 'x' be the weigh of textbook

Let 'y' be the weight of workbook

A box containing number of physics textbooks is 10 and number of physics workbooks is 3 and its weigh of the box is 50.1.

The weigh of empty box is 1.5

10x + 3y + 1.5 = 50.1 →(1)

Another box containing number of physics textbooks is 8 and number of physics workbooks is 12 and its weigh of the box is 51.9.

The weigh of empty box is 1.5

8x + 12y + 1.5 = 51.9 → (2)

To solve (1) and (2)

10x + 3y + 1.5 = 50.1

8x + 12y + 1.5 = 51.9

multiply equation (1) by (-4), we get

-40x -12y -6 =-2,004 → (3)

Combining (2) and (3), we get

8x - 40x +12y - 12y + 1.5 - 6 =-2,004 + 51.9

-32x - 4.5 = -148.5 → (4)

multiply (4) by (-1), we get

32x +4.5 = 148.5

32x = 148.5 -4.5

x = 144/32

x= 4.5

Substitute x=4.5 in equation (1)

10(4.5) +3y + 1.5 = 50.1

3y + 46.5 = 50.1

3y = 3.6

y = 1.2

Hence, the weigh of each textbook is 4.5 and the weigh of each workbook is 1.2.

To learn more about Algebraic Expression here

https://brainly.com/question/17809352

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