Adrian, Ben and Charlie share some sweets in the ratio 7.4.11 Charlie got 52 more sweets than Adrian. Work out the total amount of sweets.

286 sweets.

Step-by-step explanation:

If Adrian had x sweets, Charlie got x+52 sweets.

The number of parts  is 7+4+11 = 22.

So Adrian had 7/22 of the total  and Charlie had 11/22 = 1/2 of the total.

This means that Ben had 4/22 = 2/11 of the total.

If y is the total number of sweets:

y = x + x + 52 + 2y/11

9y/11 = 2x + 52

2x =  9y/11 - 52(1)

Also x + 52 = y/2

y = 2x + 104

2x = y - 104(2)

Equating (1) and (2) -   (as there is 2x on left side of both equations):-

9y/11 - 52 = y - 104

52 = 2y/11

y = 52 * 11/2

y = 286 sweets.

y=3x+4

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