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

Answer:

There are 55 sweets in total.

Step-by-step 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 $\frac{6}{6+4+1} = \frac{6}{11}$ of the total(t).

Brian earns $\frac{4}{11}$ of the total.

Colin earns $\frac{1}{11}$ of the total

Henry gets 25 more sweets than Colin.

Henry earns $\frac{6t}{11}$

Colin earns $\frac{t}{11}$

So

$\frac{6t}{11} = \frac{t}{11} + 25$

Multiplying everything by 1

$6t = t + 275$

$5t = 275$

$t = \frac{275}{5}$

$t = 55$

There are 55 sweets in total.