Question

$\text{Sid has 24 cupcakes for sale. He sold}$
$\frac{2}{4}\text{of the total cupcakes on Day 1 and}$ $\frac{1}{3}\text{of the total cupcakes on Day 2.}$

How many cupcakes he sold in all?

• A. $16$
• B. $20$
• C. $18$
• D. $22$

Answer 1

The correct option is B $20$

Total number of cupcakes for sale = 24

Fraction of cupcakes sold on Day 1 =
$\frac{2}{4}$

$\text{∴ Number of cupcakes sold on Day 1}$
$=24\times \frac{2}{4}$

$=\frac{24\times 2}{4}$

$=\frac{48}{4}$

$=12$

∴ Sid sold 12 cupcakes on Day 1.

Fraction of cupcakes sold on Day 2 =
$\frac{1}{3}$

$\text{∴ Number of cupcakes sold on Day 2}$
$=24\times \frac{1}{3}$

$=\frac{24\times 1}{3}$

$=\frac{24}{3}$

$=8$

Sid sold 8 cupcakes on Day 2.

∴ Total number of cupcakes sold in all = 12 + 8 = 20

Hence, Sid sold 20 cupcakes in all.