Let's assume the length of the shorter section is x inches. Since the longer section is 5 inches longer than the shorter section, its length can be represented as x+5 inches.
According to the given information, twice the length of the longer section is three times the length of the shorter section. Mathematically, this can be expressed as:
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.
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?
10 inches
12 inches
20 inches
15 inches
1 answer