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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 t...Asked by Optional
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)
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GPT 3.5
Let's denote the length of the shorter section as x inches.
According to the problem, the longer section is 5 inches longer than the shorter section. So, the length of the longer section is x + 5 inches.
Given that twice the length of the longer section is three times the length of the shorter section, we can write the following equation:
2(x + 5) = 3x
Now, we can solve this equation to find the length of the shorter section:
2x + 10 = 3x
10 = 3x - 2x
10 = x
Therefore, the length of the shorter section is 10 inches.
According to the problem, the longer section is 5 inches longer than the shorter section. So, the length of the longer section is x + 5 inches.
Given that twice the length of the longer section is three times the length of the shorter section, we can write the following equation:
2(x + 5) = 3x
Now, we can solve this equation to find the length of the shorter section:
2x + 10 = 3x
10 = 3x - 2x
10 = x
Therefore, the length of the shorter section is 10 inches.
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