The wood is to be cut into two parts in the ratio 10:15. If the wood has a length of 100 m, find the length of the bigger part.
Question
The wood is to be cut into two parts in the ratio 10:15. If the wood has a length of 100 m, find the length of the bigger part.
Solution
Sure, here are the steps to solve the problem:
- First, add the two parts of the ratio together. So, 10 + 15 = 25.
- Next, divide the total length of the wood by the sum of the ratio. So, 100 m ÷ 25 = 4 m. This gives you the length of one unit of the ratio.
- Finally, multiply the length of one unit by the number of units in the bigger part of the ratio. So, 4 m × 15 = 60 m.
Therefore, the length of the bigger part of the wood is 60 m.
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