Question

$\text{Sid has 36 cakes for sale. He sold}$
$\frac{1}{2}\text{of the total cakes on Day 1 and}$ $\frac{1}{4}\text{of the total cakes on Day 2.}$

How many cakes he sold in all?

• A. 15
• B. 21
• C. 27
• D. 36

Answer 1

The correct option is C 27

Total number of cakes for sale = 36

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

$\text{∴ Number of cakes sold on Day 1}$
$=36\times \frac{1}{2}$
= 36$÷$ 2
$=18$

∴ Sid sold 18 cakes on Day 1.

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

$\text{∴ Number of cakes sold on Day 2}$
$=36\times \frac{1}{4}$

= 36$÷$ 4

$=9$

Sid sold 9 cakes on Day 2.

∴ Total number of cakes sold in all
= 18 + 9 = 27

Hence, Sid sold 27 cakes in all.