Question

You have $60 and your sister has $120. You are saving $7 per week and your sister issaving $5 per week. How long will it be before you and your sister have the sameamount of money? (There will be a variable on both sides of the equation)

Answer 1

Given:

The amount of money you and your sister has is $60 and $120 respectively.

and your saving $7 per week and your sister saving is $5 per week.

Let, w denote the number of weeks.

`\begin{gathered} A=60+7w\ldots\ldots..(1) \\ A=120+5w\ldots\ldots\ldots\text{.}(2) \end{gathered}`

To find the number of weeks for you and your sister to have same amount of money,

`\begin{gathered} 60+7w=120+5w \\ 7w-5w=120-60 \\ 2w=60 \\ w=30 \end{gathered}`

Answer: 30 weeks.