# Question bd302

Jan 26, 2017

she bought 9 oranges.

#### Explanation:

Let o represent the number of oranges she bought.

Then the cost of each fruit may be expressed as.

(7xx0.16)=₤1.12larrcolor(red)"cost of apples"

$\text{and "(0.11 o)larrcolor(orange)"cost of oranges}$

Expressing the total cost as an equation.

$\Rightarrow \textcolor{red}{1.12} + \textcolor{\mathmr{and} a n \ge}{0.11 o} = 2.11$

subtract 1.12 from both sides.

$\cancel{1.12} \cancel{- 1.12} + 0.11 o = 2.11 - 1.12$

$\Rightarrow 0.11 o = 0.99$

To solve for o, divide both sides by 0.11

$\frac{\cancel{0.11} o}{\cancel{0.11}} = \frac{0.99}{0.11}$

$\Rightarrow o = 9$

$\text{Hence Indra bought 9 oranges}$

$\textcolor{b l u e}{\text{As a check}}$

The total cost of apples and oranges should be ₤2.11

(7xx0.16)+(9xx0.11)=1.12+0.99=₤2.11color(white)(xx)✔︎#