Question

A bag of sweets contains mints and toffees only.There are 21 mints in the bag.One quarter of the sweets are toffees.Calculate the total number of sweets in the bag.

Answer 1

Total number of sweets in the bag is 28

Explanation:

let the total number of sweets in the bag be x :

`{ \tt{for \: toffees : }} \\ (1)/(4) \: of \: x`

therefore fraction of mints = 1 - fraction of toffees :

`= (4)/(4) - (1)/(4) \\ \\ = (3)/(4)`

therefore:

`= > (3)/(4) \: of \: x = 21 \: mints \\ \\ (3)/(4) * x = 21 \\ 3x = 21 * 4 \\ x = (21 * 4)/(3) \\ x = 28`

total sweets number is 28