Question

Question 3 Rico purchased an annual membership to the gym. The average monthly price (p) for his membership for a 12-month period is p 45m +60 12 where m is the number of monti Move the terms into the boxes to solve the equation for m. - m = 12p 45 60

Answer 1

`m\text{ }=\text{ }\frac{12p\text{ - 60}}{45}`Step-by-step explanation:

Average monthly price:

`p\text{ = }(45m+60)/(12)`

We make m the subject of formula:

First we cross multiply

`\begin{gathered} p\text{ (12)= }45m+60 \\ 12p\text{ =}45m+60 \\ \text{subtract 60 from both sides:} \\ 12p\text{ - 60 = 45m + 60 - 60} \end{gathered}`
`\begin{gathered} 12p\text{ - 60 = 45m + 0} \\ 12p\text{ - 60 = 45m} \\ \text{divide both sides by 45:} \\ (12p-60)/(45)=\text{ }(45m)/(45) \end{gathered}`
`m\text{ }=\text{ }\frac{12p\text{ - 60}}{45}`

First box = 12p

Second box = 60

Third box = 45