Question

McDonalds sell milkshakes in two sizes$.$ A small milkshake contains $300$$mL$ and a large milkshake contains $\frac{2}{3}$more$.$

$\left(i\right)$ How much does a large milkshake contain $?$

$\left(ii\right)$ If Mehak drinks $\frac{2}{3}$ of small milkshake and Meena $\frac{1}{2}$of a large milkshake$.$ who drinks more$?$

Answer 1

Step 1 : write the given data

Capacity of small milkshake $=$$300$$mL$

Capacity of large milkshake $=$Capacity of small milkshake $+$$\frac{2}{3}$of capacity of small milkshake

Step 2 : Find the Capacity of large milkshake

$=$$300$ $+$$\frac{2}{3}$ of $300$ $=$$300$ $+$$\frac{2}{3}$ $\times$ $300$ $=$$300$ $+$ $\frac{2\times 300}{3}$ $=$$300$$+$$\frac{600}{3}$ $=$$300$$+$$200$ $=$$500$$mL$

Step 3 : Find who drinks more

Mehak drinks $=$ $\frac{2}{3}$ of small milkshake $=$$\frac{2}{3}$$\times$$300$$=$$\frac{2\times 300}{3}$$=$$\frac{600}{3}$$=$$200$$mL$

Meena drinks $=$$\frac{1}{2}$of a large milkshake $=$$\frac{1}{2}$$\times$$500$$=$$\frac{1\times 500}{2}$$=$$\frac{500}{2}$$=$$250$$mL$

Hence $,$ $\left(i\right)$Large milkshake contains $500$$mL$ and $\left(ii\right)$Meena drinks more