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.
- The total length of the wood is 100 m. To find out how much each part of the ratio represents, divide the total length by the sum of the ratio. So, 100 ÷ 25 = 4. This means that each 'part' of the ratio is equal to 4 m.
- The problem asks for the length of the bigger part. The bigger part of the ratio is 15. So, multiply 15 by the length of each part. So, 15 × 4 = 60.
- Therefore, the length of the bigger part of the wood is 60 m.
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