David used 14 1/4 pounds of clay to make 3 pots. At this rate, how many pounds of clay would he need to make 10 pots?

since the rate stays the same, you want to find x such that

x/10 = (14 1/4)/3

To find out how many pounds of clay David would need to make 10 pots, we need to determine the amount of clay used per pot and then multiply that by the number of pots.

First, let's find the amount of clay used per pot. David used 14 1/4 pounds of clay for 3 pots. To calculate the clay used per pot, we divide the total clay used by the number of pots:

14 1/4 pounds ÷ 3 pots = 4 3/4 pounds per pot.

Now we know that David used 4 3/4 pounds of clay per pot.

To find out how many pounds of clay he would need for 10 pots, we multiply the clay used per pot by the number of pots:

4 3/4 pounds per pot × 10 pots = 47 1/2 pounds.

Therefore, David would need 47 1/2 pounds of clay to make 10 pots.