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Ratio is 2:4:5. Total is 220. A is 2, B is 4, C is 5. What is the percentage of 4?

User Taraas
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Final answer:

To calculate the percentage that the number 4 represents in a 2:4:5 ratio with a total of 220, determine the value of each part of the ratio and then use the part over total formula. The value for B (which is 4) is 80, and therefore, its percentage is 36.36%.

Step-by-step explanation:

To find the percentage that the number 4 represents in the ratio 2:4:5 when the total is 220, we first need to determine the total number of parts in the ratio.

Adding the ratio numbers together, we get 2+4+5 = 11 parts in total.

Now, since B is 4, we divide the total amount, 220, by the number of parts, 11, to find the value of one part: 220 ÷ 11 = 20. Value of B is, therefore, 4 parts times 20, which is 80.

Next, to find the percentage composition of B, we use the formula to calculate percentage:

Percentage = (Part ÷ Total) × 100.

For B, this is (80 ÷ 220) × 100, giving us 36.36%, which is the percentage that the number 4 represents in the total of 220.

User Nk Mk
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