Question

A local Ace Hardware sells batteries ($3) and small boxes of pens ($6). In August, total sales were $936. Customers bought 6 times as many batteries as boxes of pens. How many of each did Ace Hardware sell? Check your answer.

Answer 1

`\begin{gathered} P=(936)/(42)\rightarrow\text{ (boxes of pens)} \\ B=(936)/(7)\rightarrow(\text{ batteries)} \end{gathered}`

Step-by-step explanation: Total sales in August was $936, which was sales of batteries and boxes of pens, we know that customers bought 6 times as many batteries as pens, this translates to algebra as follows:

`\begin{gathered} B(\text{ \$3)+P(\$6)=\$936} \\ B=6P \\ \therefore\Rightarrow \\ 6P(\text{ \$6)+P(\$6)=\$936} \\ 36P+6P=936\rightarrow42P=936 \\ P=(936)/(42)\rightarrow\text{ (boxes of pens)} \\ \therefore\Rightarrow \\ B=6*(936)/(42)=(936)/(7)\rightarrow(\text{ batteries)} \\ \\ \end{gathered}`