Question

#4: Lauren is saving for a new purse that costs $65. She already has$14 and will earn $2 for a weekly allowance. Her dad will also give her$3 a week for good behavior. How many weeks will it take beforeLauren has enough money for her new purse?

Answer 1

Lauren is saving for a new purse that costs $65

She already has $14

She will earn $2 for a weekly allowance

She will also get $3 a week for good behavior

How many weeks will it take before Lauren has enough money for her new purse?

Let x denotes the number of weeks.

We can set up an equation as

`14+2x+3x=65`

Where $14 is the money she already has.

2x and 3x are weekly allowance and good behavior allowance.

The sum of all these must be equal to the target amount that is $65

Now let us solve the above equation to get the x (number of weeks)

`\begin{gathered} 14+2x+3x=65 \\ 14+5x=65 \\ 5x=65-14 \\ 5x=51 \\ x=(51)/(5) \\ x=10.2 \end{gathered}`

Therefore, it would take 10.2 weeks before Lauren has enough money for her new purse.

(Note: If rounding off is allowed then let us round off to the next whole number that is 11 weeks)