A string is cut in two so that one section is 5 inches longer than the other. Twice the length of the longer section is three times the length of the shorter section. Write an equation that allows you to solve for the length of the shorter section. How long is the shorter section?(1 point)

Responses

12 inches
12 inches

15 inches
15 inches

20 inches
20 inches

10 inches

5 answers

Let's represent the length of the shorter section as x.

According to the problem, the longer section is 5 inches longer than the shorter section, so its length can be represented as x + 5.

Twice the length of the longer section is three times the length of the shorter section. This can be written as:
2(x + 5) = 3x

Now we can solve this equation for x:
2x + 10 = 3x
10 = 3x - 2x
10 = x

Therefore, the length of the shorter section is 10 inches.
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