Final answer:
To find the clay content of the mixture, add the amounts of clay from the two soils and divide by the total volume of the mixture, then multiply by 100. The clay content of the mixture is 25%.
Step-by-step explanation:
To find the clay content of the mixture, we need to calculate the total amount of clay in the 9 cubic yards of soil and the 6 cubic yards of soil. For the first soil, which contains 35% clay, we can calculate the amount of clay by multiplying 9 (cubic yards) by 35/100 (percentage of clay). This gives us 3.15 cubic yards of clay. For the second soil, which contains 10% clay, we can calculate the amount of clay by multiplying 6 (cubic yards) by 10/100. This gives us 0.6 cubic yards of clay.
To find the clay content of the mixture, we add the amounts of clay from the two soils: 3.15 cubic yards + 0.6 cubic yards = 3.75 cubic yards. Next, we need to find the percentage of clay in the mixture. To do this, we divide the total amount of clay in the mixture (3.75 cubic yards) by the total volume of the mixture (9 + 6 = 15 cubic yards) and multiply by 100. The clay content of the mixture is therefore (3.75/15) * 100 = 25%.