Consumer Arithmetics

Question

A waitress makes $27 an hour. How many hours does it take for the waitress to make $135 at her job?

Answer 1

Based on the question, we are looking for the number of hours. So, x = # of hours worked.

If the waitress makes $27 per hour, it means we multiply by the number of hours. Usually you’ll see the word each or per, which means multiply. Now, let’s make the equation and solve it.

27x = 135

The opposite of multiplying is dividing, so divide both sides by 27.

x = 5 Make sure you include a unit —> hours

It will take the waitress 5 hours to earn $135.

Answer 2

The first step in solving this problem is identifying if a total has been provided or if one needs to be found. When dissecting word problems, you must use a strategy such as this to determine which operation(s) are needed to solve.

In this problem, a total is given, which is $135. This is the total in which the waitress will make. When a total is given in a problem, only 2 operations can be used: subtraction or division. The next step is to identify if there are equal parts or groups in the problem. If a problem with a total has equal parts, division must be used. In this problem, $27 is how much the waitress makes per hour, so division must be used.

You should then divide 135 by 27 to determine how many hours the waitress must work to earn the total amount. The waitress will have to work 5 hours to make $135. Since multiplication is the inverse of division, you can multiply 27 by 5 to get 135 to check your work.

Answer 3

Let x be the number of hours that a waitress has worked.

Then we have 27x=135 where the waitress makes $27 per hour

and we want to find the number of hours that a waitress has worked.

Now we will solve for x by dividing 27 on both sides of the equation

27x=135.

This gives x=135/27.

Thus x=5.

Therefore, it takes 5 hours for the waitress to make $135 at her job.

Answer 4

To find out how many hours it takes for the waitress to make $135, divide the total earnings ($135) by the hourly wage ($27):

$135 / $27 = 5 hours

So, it takes the waitress 5 hours to make $135 at her job.

Answer 5

WHAT DO WE KNOW:

$27 is how much the waitress earns for one hour.

WHAT DO WE NEED TO FIND OUT?

How many hours the waitress needs to work to earn $135.

LET'S SET IT UP:

Let's create a "Math sentence" to make sense of it.

1. Let's say the number of hours are H hours
2. The waitress needs to work H number of hours and get paid $27 for each hour to earn $135.

That means that $27 multiplied by H number of hours will equal to $135

Writing this mathematically

27 x H = 135

SOLUTION:

1. In order to find H we need to get H all alone on one side of the equation.
2. Division is the opposite of multiplication and since 27 is being multiplied by H, we will divide by 27.
3. If we make a change on one side of the equal sign, we have to make the same change on the other side of the equal sign. So now we divide 135 by 27 as well.

so let's divide 27 on both sides of the equation

27 135

— x H = ——

27 27

27 divided by 27 is equal to 1.

135 divided by 27 is equal to 5

SIMPLIFY:

1 x H = 5 (and of course 1 multiplied by any number is the number itself. So 1 x H, is just H)

H = 5

SO THE WAITRESS WOULD NEED TO WORK 5 HOURS IN ORDER TO EARN 135 DOLLARS.

Answer 6

How does a worker charge for his/her craft?

Answer 7

$27 = 1 hour, therefore

$135 = y hours (y represents the unknown hours), therefore

$135/27 = 5 hours

Answer = 5 hours