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FinnZ [79.3K]
3 years ago
9

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

e total number of sweets in the bag.
Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
5 0

Answer:

<u>Total</u><u> </u><u>number</u><u> </u><u>of</u><u> </u><u>sweets</u><u> </u><u>in</u><u> </u><u>the</u><u> </u><u>bag</u><u> </u><u>is</u><u> </u><u>2</u><u>8</u>

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

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