The length of a board is 55 inches. The board needs to be cut into 2 pieces with one piece 5 inches longer than the other piece.

Question

3 years ago

5

What is the length of the longer piece? Use an equation with a variable.

1 answer:

photoshop1234 [79] · Answer 1 · 2022-05-13T13:17:31+03:00

<h3>The length of longer piece is 30 inches</h3>

<em><u>Solution:</u></em>

Let "x" be the length of longer piece

Let "y" be the length of shorter piece

<em><u>The length of a board is 55 inches</u></em>

Therefore,

x + y = 55 -------- eqn 1

<em><u>The board needs to be cut into 2 pieces with one piece 5 inches longer than the other piece</u></em>

Therefore,

x = 5 + y ------- eqn 2

Substitute eqn 2 in eqn 1

5 + y + y = 55

2y = 55 - 5

2y = 50

Substitute y = 25 in eqn 1

x + 25 = 55

x = 55 - 25

Thus the length of longer piece is 30 inches