# Question #bd302

##### 1 Answer

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"#

#"and "(0.11 o)larrcolor(orange)"cost of oranges"# Expressing the total cost as an equation.

#rArrcolor(red)(1.12)+color(orange)(0.11o)=2.11# subtract 1.12 from both sides.

#cancel(1.12)cancel(-1.12)+0.11o=2.11-1.12#

#rArr0.11o=0.99# To solve for o, divide both sides by 0.11

#(cancel(0.11) o)/cancel(0.11)=0.99/0.11#

#rArro=9#

#"Hence Indra bought 9 oranges"#

#color(blue)"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)✔︎#