Question

Adrian, Ben and Charlie share some sweets in the ratio 5:2:7
Charlie got 22 more sweets than Adrian

Work out the total amount of sweets.

Answer 1

Answer:

154 sweets

Step-by-step explanation:

Adrian, Ben and Charlie share some sweets in the ratio 5:2:7 and Charlie got 22 more sweets than Adrian.

Let the total number of sweets be x.

Then Adrian gets:

$\frac{5}{14} x$

And Charlie gets:

$\frac{7}{14} x$

It was given that Charlie got 22 more sweets than Adrian.

This implies that:

$\frac{7}{14} x = \frac{5}{14} x + 22$

Multiply through by 14:

$7 x =5x + 308$

Group similar terms;

$7x - 5x = 308$

$2x = 308$

$x = 154$