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.

Question

asked Mar 13, 2022 46.2k views

1 Answer

Daniel McPherson · Answer 1 · 2022-03-17T10:02:19+0000

Answer:

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