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

Answer:

Total number of sweets in the bag is 28

Step-by-step explanation:

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

${ \tt{for \: toffees : }} \\ \frac{1}{4} \: of \: x$

therefore fraction of mints = 1 - fraction of toffees :

$= \frac{4}{4} - \frac{1}{4} \\ \\ = \frac{3}{4}$

therefore:

$= > \frac{3}{4} \: of \: x = 21 \: mints \\ \\ \frac{3}{4} \times x = 21 \\ 3x = 21 \times 4 \\ x = \frac{21 \times 4}{3} \\ x = 28$

total sweets number is 28