Question

On a weekend night, a waiter earned $3 an hour and made $45 in tips. He made a total of $60. Write and solve an equation to determine how many hours he worked.

Answer 1

The equation to determine the number of hours we worked is
`3h+45=60`.

The waiter has worked for 5 hours.

Explanation:

Given:

Total Money made = $60

Hourly rate = $3

Money made in tips = $45

We need to find the number of hours he worked.

Solution:

Let the number of hours he worked be 'h'.

Now we can say that;

Total Money he made is equal to sum of Money made in tips and Hourly rate multiplied by number of hours he worked.

framing in equation form we get;

`3h+45=60`

Hence the equation to determine the number of hours we worked is
`3h+45=60`.

On Solving equation we get;

First we will subtract both side by 45 we get;

`3h+45-45=60-45\\\\3h=15`

Dividing both side by 3 we get;

`(3h)/(3)=(15)/(3)\\\\h=5\ hrs.`

Hence the waiter has worked for 5 hours.