Question

One packet of biscuits requires `2 1/2` cups of flour and `1 2/3` cups of sugar. Estimated total quantity of both ingredients used in 10 such packets of biscuits will be ______.

Options

• less than 30 cups

• between 30 cups and 40 cups

• between 40 cups and 50 cups

• above 50 cups

Answer 1

One packet of biscuits requires `2 1/2` cups of flour and `1 2/3` cups of sugar. Estimated total quantity of both ingredients used in 10 such packets of biscuits will be between 40 cups and 50 cups.

Explanation:

Total quantity of both ingredients in one packet of biscuits = Quantity of flour + Quantity of sugar

= `2 1/2` cups + `1 2/3` cups

= `((2 xx 2) + 1)/2 + ((1 xx 3) + 2)/3`

= `(4 + 1)/2 + (3 + 2)/3`

= `5/2 + 5/3`

= `(5 xx 3 + 2 xx 5)/6`  ......[∵ LCM of 2 and 3 = 6]

= `(15 + 10)/6`

= `25/6`

∴ Total quantity of both ingredients used in 10 packets

= 10 × Total quantity of ingredients in one packet

= `10 xx 25/6`

= `250/6`

Since `250/6` lies between 40 and 50.