Question

There is a discount of $\$\frac{2}{5}$ on both the cake and the cupcake. Select the combined cost of both the cakes after the discount.

• A. $\$11\frac{1}{5}$
• B. $\$11\frac{2}{5}$
• C. $\$11\frac{3}{5}$
• D. $\$11\frac{4}{5}$

Answer 1

The correct option is B $\$11\frac{2}{5}$

Calculate the total cost of the cakes after the discount.

Cost of the cake before the discount = $\$7\frac{4}{5}$

Cost of the cupcake before the discount = $\$4\frac{2}{5}$

Discount on each cake = $\$\frac{2}{5}$

Combined cost of both the cakes:

$(7\frac{4}{5}-\frac{2}{5})+(4\frac{2}{5}-\frac{2}{5})$

$=(7+\frac{4}{5}-\frac{2}{5})+(4+\frac{2}{5}-\frac{2}{5})$

$=(7+\frac{2}{5})+\left(4\right)$

$=7+4+\frac{2}{5}$

$=11+\frac{2}{5}$

$=11\frac{2}{5}$

∴ The total cost of both the cakes after the discount is $\$11\frac{2}{5}$.