Chapter 9.6, Problem 23PPS

To determine

To find : how many pounds of apples costing $\$1.25$ per pound

Answer to Problem 23PPS

  $1.2$ Pounds of apples costing $\$1.25$ per pound

Explanation of Solution

Given information :

Ellen bought 3 pounds of bananas for $\$0.90$ per pound.

Calculation :

Let $x$ be the apples.

Total cost of bananas is

  $\begin{array}{l}3\cdot 0.90\\ =2.7\end{array}$

Total cost of apples is

  $\begin{array}{l}x\cdot 1.25\\ =1.25x\end{array}$

Therefore, the total cost for fruit is $\$1$ per pound

  $\begin{array}{l}2.7+1.25x=3+x\\ 1.25x-x=3-2.7\\ x\left(1.25-1\right)=0.30\\ x\left(0.25\right)=0.30\\ x=\frac{0.30}{0.25}\\ x=\frac{30}{25}\cdot \frac{100}{100}\\ x=\frac{6}{5}\\ x=1.2\end{array}$

Therefore, $x=1.2$ pounds of apples.

Hence, $1.2$ pounds of apples costing $\$1.25$ per pound.