divide £180 into 3 parts in the ratio of 3:2:4
divide 108 children into 3 groups in the ratio of 5:3:4
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180/9 = 20
3*20 = 60
2*20 = 40
4*20 = 80
Use same method for the second problem.
To divide £180 into 3 parts in the ratio of 3:2:4, you need to determine the proportion of the total amount each part should have.
Step 1: Calculate the sum of the ratio parts: 3 + 2 + 4 = 9
Step 2: Divide the total amount by the sum of the ratio parts: £180 / 9 = £20
Step 3: Multiply each part of the ratio by £20:
- The first part (3/9) = 3 × £20 = £60
- The second part (2/9) = 2 × £20 = £40
- The third part (4/9) = 4 × £20 = £80
Therefore, the three parts in the ratio of 3:2:4 are £60, £40, and £80.
To divide 108 children into 3 groups in the ratio of 5:3:4, follow a similar process:
Step 1: Calculate the sum of the ratio parts: 5 + 3 + 4 = 12
Step 2: Divide the total number of children by the sum of the ratio parts: 108 / 12 = 9
Step 3: Multiply each part of the ratio by 9:
- The first group (5/12) = 5 × 9 = 45 children
- The second group (3/12) = 3 × 9 = 27 children
- The third group (4/12) = 4 × 9 = 36 children
Therefore, the three groups in the ratio of 5:3:4 would have 45, 27, and 36 children, respectively.