Question

Nick is given $135 to spend on a vacation. He decides to spend $7.50 a day. 1. Write an equation to represent this situation. 2. How many days can NIck vacation before he runs out of money?

Answer 1

Given:

Nick has $135

He spends $7.50/day

Let d represent the number of days

The equation that would be used to find the number of days it takes Nick to completely spend $135 is:

`135\text{ - 7.5d = 0}`

Here we are simply multiplying the amount Nick spends each day by the number of days and subtracting it from the amount he originally had. Equating it to zero means that his balance gets to zero eventually.

Solving for d:

`\begin{gathered} 7.5d\text{ = 135} \\ \text{Divide both sides by 7.5} \\ (7.5d)/(7.5)\text{ = }(135)/(7.5) \\ d\text{ = }18 \end{gathered}`

Hence, it would take 18 days

Answer:

1. 135- 7.5d = 0

2. 18 days