I am very confused on how to even begin figuring out the below problems:

1. Naomi has earned $54.00 mowing lawns the past two days. She worked 2 1/2 hours yesterday and 4 1/4 hours today. If Naomi is paid the same amount for every hour she works, how much does she earn per hour to mow lawns?

2. An art teacher has 1 1/2 pounds of red clay and 3/4 pound of yellow clay. The teacher mixes the red clay and yellow clay together. Each student in the class needs 1/8 pound of the clay mixture to finish the assigned art project for the class. How many students can get enough clay to finish the project?

rate per hour is

#dollars / #hours

(1 1/2 + 3/4)/(1/8)
or 8 * (3/2 + 3/4) = ?

I don't understand your answer? Which one is it pertaining to?

Can you walk me through this step by step for problem number one please?

she worked 2 2/4 + 4 1/4 = 6 3/4 hours

54/6.75 = dollars/hour

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total amount of clay = 1 2/4 + 3/4
= 1 5/4 = 2 1/4 = 9/4

9/4 / 1/8 = 8 ( 9/4 ) = 18

For problem number one how did you get 2 2/4?

2 1/2 = 2 2/4

For problem number two how did you get 1 2/4?

Now I am really confused.

The problem is as follows:

An art teacher has 1 1/2 pounds of red clay and 3/4 pound of yellow clay. The teacher mixes the red clay and yellow clay together. Each student in the class needs 1/8 pound of the clay mixture to finish the assigned art project for class. How many students can get enough clay to finish the project?

just think about it. How much clay was used?

1 1/2 + 3/4 = 1 2/4 + 3/4 = 1 5/4 = 9/4 lbs

Now, if each student uses 1/8 lb, the 1 whole pound is enough for 8 students, right?

So 8 * 9/4 = 72/4 = 18 students can be satisfied.

Or, since 1/4 lb = 2/8 lb, each 1/4 lb of clay will provide 2 students. Since there are 9/4 lb of clay, that's enough for 9*2 = 18 students.

To solve these problems, you will need to perform some basic calculations involving addition, subtraction, and division. Here's how you can approach each problem:

1. Naomi's earning per hour:
- Naomi earned $54.00 in total for 2 days of work.
- Yesterday, she worked for 2 1/2 hours, and today she worked for 4 1/4 hours.
- To find how much Naomi earns per hour, you need to divide the total earnings by the total number of hours worked.
- First, convert the mixed numbers to improper fractions:
- 2 1/2 = (2 * 2) + 1 = 5/2
- 4 1/4 = (4 * 4) + 1 = 17/4
- Add the hours together: 5/2 + 17/4 = (5 * 4 + 17) / 4 = 27/4
- Divide the total earnings ($54.00) by the total hours (27/4):
- $54.00 ÷ (27/4) = $54.00 * (4/27) ≈ $2.00 per hour
- Naomi earns approximately $2.00 per hour mowing lawns.

2. Number of students who can finish the project:
- The art teacher has 1 1/2 pounds of red clay and 3/4 pound of yellow clay, which makes a total of 1 1/2 + 3/4 = 3/2 + 3/4 = 9/4 pounds of clay.
- Each student needs 1/8 pound of clay mixture to finish the project.
- To determine the number of students who can finish the project, you need to divide the total amount of clay by the amount required for each student.
- Convert the mixed number to an improper fraction: 9/4 (already done).
- Divide the total amount of clay (9/4) by the amount needed for each student (1/8):
- (9/4) ÷ (1/8) = (9/4) * (8/1) ≈ 72/4 = 18
- Therefore, 18 students can get enough clay to finish the project.

By following these steps, you can calculate the solutions to each problem.