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* x=84*10 \\ 60x=840 \end{gathered}`

divide both sides by the coefficient of x

`\begin{gathered} (60x)/(60)=(840)/(60) \\ x=14\text{ months} \end{gathered}`

Hayley has read 84 books in 14 months