Question

Question 15

One packet of biscuits requires $2\frac{1}{2}$ cups of flour and $1\frac{2}{3}$ cups of sugar. The estimated total quantity of both ingredients used in 10 such packets of biscuits will be

Answer 1

total quanity of both ingredients in one packet of biscuits
= Quantity of flour + Quantity of sugar
$=2\frac{1}{2}cups+1\frac{2}{3}cups$

= $\frac{(2\times 2)+1}{2}+\frac{(1\times 3)+2}{3}$
= $\frac{4+1}{2}+\frac{3+2}{3}$
= $\frac{5}{2}+\frac{5}{3}$
= $\frac{5\times 3+2\times 5}{6}[\because LCMof2and3=6]$
= $\frac{15+10}{6}$
= $\frac{25}{6}$
$\therefore$ Total quantity of both ingredients used in 10 packets
$=10\times Totalquantityofingredientsinonepacket$
$=10\times \frac{25}{6}=\frac{250}{6}$
Since , $\frac{250}{6}$ lies between 40 and 50