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
1 2/4 + 3/4 = 1 5/4 = 9/4 = 18/8
(18/8) / (1/8)
(18/8) * (8/1) = 144 / 8 = 18 students
8
To find out how many students can get enough clay to finish the project, we need to determine how much clay is available in the mixture and then divide that amount by the amount of clay needed for each student.
1. First, we need to add the amounts of red clay and yellow clay: 1 1/2 pounds + 3/4 pound.
To do this, we can convert the mixed number (1 1/2) to an improper fraction:
1 1/2 = (2 * 1) + 1 = 3/2.
Therefore, adding the red clay and yellow clay gives us: 3/2 + 3/4.
2. To add these fractions, we first need to find a common denominator for 2 and 4, which is 4.
3/2 + 3/4 = (3/2) * (2/2) + (3/4).
This gives us: 6/4 + 3/4.
3. Now we can add the fractions together: 6/4 + 3/4 = 9/4.
4. So, the clay mixture weighs 9/4 pounds.
5. Next, we need to divide the amount of clay mixture by the amount needed for each student: (9/4) / (1/8).
6. To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:
(9/4) / (1/8) = (9/4) * (8/1).
7. Multiplying the numerators and denominators gives us: (9 * 8) / (4 * 1).
8. Simplifying: 72/4 = 18.
Therefore, there are enough clay mixture for 18 students to finish the project.