Question

Alex, Stephen and Bridget share some sweets in the ratio 1:5:3. Alex gets 10 sweets. How many did Bridget get? Please help...

Answer 1

Bridget got 30 sweets.

Explanation:

Alex got
`(1)/(1+5+3) = (1)/(9)` of the total amount.

Stephen got
`(5)/(1+5+3) = (5)/(9)` of the total amount.

Bridget got
`(5)/(1+5+3) = (3)/(9)` of the total amount.

Alex got 10 sweets.

10 is (1/9) of the total amount, T. So

`10 = (T)/(90)`

`T = 90`

Bridget got 3/9 of the total amount.

3/9 of 90. So

`(3*90)/(9) = 30`

Bridget got 30 sweets.