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 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.
you shoud do the anser step by step
Same response as your when I do it on my own
To find out how many students can have enough clay to finish the project, we need to determine the total amount of clay available and then divide it by the amount needed per student.
First, let's add the amounts of red clay and yellow clay together:
1 1/2 + 3/4
To add these fractions, it's helpful to find a common denominator. In this case, the least common denominator is 4:
1 1/2 + 3/4 = 2/2 + 3/4 = 4/4 + 3/4 = 7/4
So, the total amount of clay that the art teacher has is 7/4 pounds.
Next, let's determine the amount of clay needed per student, which is 1/8 pound.
Now we can divide the total amount of clay by the amount needed per student:
(7/4) ÷ (1/8)
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:
(7/4) × (8/1)
To multiply fractions, we simply multiply the numerators together and the denominators together:
(7 × 8) / (4 × 1) = 56/4
Now, let's simplify this fraction:
56 ÷ 4 = 14
So, the answer is that there is enough clay for 14 students to finish the project.