A company produces a product that consists of materials X, Y, and Z. The product is mixed so that:
✑ The quantity of material X used is one-third more than that of material Y.
✑ The quantity of material Y used is one-fourth less than that of material Z.
If the company used 24, 000 units of material Z during a period, what is a reasonable estimate of the amount of material X used?
To determine the amount of material X used, we need to first find the quantities of materials Y and Z based on their relationships. We know that the quantity of material Y is one-fourth less than that of material Z. If Z is 24,000 units, then Y is 24,000 - (24,000 / 4) = 24,000 - 6,000 = 18,000 units. Furthermore, the quantity of material X used is one-third more than that of material Y. Therefore, X is 18,000 + (18,000 / 3) = 18,000 + 6,000 = 24,000. So, the correct estimate for the amount of material X used is 32,000 units.
Suppose Z is 10, that is equal to 24,000 Y is 1/4 less than that of Z, i.e.,. 10/4 = 2.5, which means Y is 7.5 (10-2.5) Now, X is 1/3 more than that of Y, i.e., 7.5/3 = 2.5, which means X is 10 (7.5+2.5) That means 24,000 (same as Z)
What is missing from the equation Y=2/3x and Y=3/4Z?