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

15 inches
15 inches

12 inches
12 inches

10 inches
10 inches

20 inches
20 inches

1 answer

Let's assume that the length of the shorter section is x inches.
According to the given information, the longer section would be x+5 inches.
Twice the length of the longer section is three times the length of the shorter section, which can be written as:
2(x+5) = 3x

Simplifying the equation:
2x + 10 = 3x

Subtracting 2x from both sides:
10 = x

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