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

$m\text{ }=\text{ }\frac{12p\text{ - 60}}{45}$Explanation:

Average monthly price:

$p\text{ = }\frac{45m+60}{12}$

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}$$\begin{gathered} 12p\text{ - 60 = 45m + 0} \\ 12p\text{ - 60 = 45m} \\ \text{divide both sides by 45:} \\ \frac{12p-60}{45}=\text{ }\frac{45m}{45} \end{gathered}$$m\text{ }=\text{ }\frac{12p\text{ - 60}}{45}$

First box = 12p

Second box = 60

Third box = 45