Question

Henry, Brian and Colin share some sweets in the ratio 6:4:1. Henry gets 25 more sweets than Colin. How many sweets are there altogether?

Answer 1

There are 55 sweets in total.

Explanation:

The total number of sweets is t.

Henry, Brian and Colin share some sweets in the ratio 6:4:1.

This means that Henry earns
`(6)/(6+4+1) = (6)/(11)` of the total(t).

Brian earns
`(4)/(11)` of the total.

Colin earns
`(1)/(11)` of the total

Henry gets 25 more sweets than Colin.

Henry earns
`(6t)/(11)`

Colin earns
`(t)/(11)`

So

`(6t)/(11) = (t)/(11) + 25`

Multiplying everything by 1

`6t = t + 275`

`5t = 275`

`t = (275)/(5)`

`t = 55`

There are 55 sweets in total.