Some sweets are shared among three children in the ratio 3:5:9.

Work out the biggest among share if the smallest share is 135.

Three children share some sweet in the ratio of their ages. The children are 4,7 and 9 years old. The oldest child gets 54 sweets

A. How many sweets do the other children get?

Follow the same method I just used in your previous post.

Let me know what you got.

To find the biggest share among the three children, we need to first determine the total number of parts in the ratio.

The ratio is given as 3:5:9. Adding these three numbers together, we get:

3 + 5 + 9 = 17

So, the total number of parts in the ratio is 17.

Next, we need to determine the value of each part. We can do this by taking the smallest share (which is given as 135) and dividing it by the number of parts (17):

135 ÷ 17 ≈ 7.941

Rounding the result to the nearest whole number, we find that each part is approximately equal to 8.

Now that we know the value of each part, we can calculate the shares for each child by multiplying their parts by this value:

Child 1: 3 parts × 8 = 24
Child 2: 5 parts × 8 = 40
Child 3: 9 parts × 8 = 72

Therefore, the biggest share among the three children is 72.