Question

Sugar cost $37\frac{1}{2}$ per kg. Find the cost of $8\frac{3}{4}$kg of sugar

Answer 1

Step 1: Converting the given statement into mathematical expression.

If 1 kg of sugar costs Rs.$37\frac{1}{2}$, then $8\frac{3}{4}$kg of sugar will cost:
Cost =$8\frac{3}{4}\times 37\frac{1}{2}$

Step 2: Convert the mixed fractions into improper fractions and find the total cost
We have
Cost = $8\frac{3}{4}\times 37\frac{1}{2}$

$Mixedfraction=\frac{integralpart\times denominator+Numerator}{Denominator}$
We will use the above formula to convert the mixed fracation into improper fraction

=$\frac{8\times 4+3}{4}+\frac{37\times 2+1}{2}$

=$\frac{32+2}{4}+\frac{74+1}{2}$

=$\frac{35}{4}\times \frac{75}{2}$

=$\frac{2625}{8}=328\frac{1}{8}$Rs

Hence, the cost of $8\frac{3}{4}$kg of sugar is Rs.$328\frac{1}{8}$