Question

Hayley read a total of 60 books over 10 months. If Hayley has read 84 books so far, howmany months has she been with her book club?

Answer 1

to solve this question, we would have to equate the mathematical statements and then cross multiply

let the numbers of months she has read be represented by x

$\begin{gathered} 60\text{books}=10\text{months} \\ 84\text{books}=x \end{gathered}$

cross multiply both sides and solve for x

$\begin{gathered} 60\times x=84\times10 \\ 60x=840 \end{gathered}$

divide both sides by the coefficient of x

$\begin{gathered} \frac{60x}{60}=\frac{840}{60} \\ x=14\text{ months} \end{gathered}$

Hayley has read 84 books in 14 months