David used

Question

14
pounds of clay to make 3 pots. At this rate, how many pounds of clay would he need to make 10 pots?
OA. 47 pounds 1/2
OB. 24 pounds 1/4
OC. 40 pounds 3/4
OD. 4 pounds 3/4

Answer 1

To find out how many pounds of clay David would need to make 10 pots, we first need to determine the amount of clay needed for one pot.

David used 14 pounds of clay for 3 pots, so the amount of clay per pot is:

\[ \text{Clay per pot} = \frac{14 \text{ pounds}}{3 \text{ pots}} \approx 4.67 \text{ pounds/pot} \]

Now, we will calculate the total amount of clay needed for 10 pots:

\[ \text{Clay for 10 pots} = 10 \text{ pots} \times \frac{14 \text{ pounds}}{3 \text{ pots}} = \frac{140 \text{ pounds}}{3} \approx 46.67 \text{ pounds} \]

Now we can convert \( \frac{140}{3} \) to a mixed number:

\[ 140 \div 3 = 46 \quad \text{remainder} \quad 2 \]

So, \( \frac{140}{3} = 46 \frac{2}{3} \).

Now, compare this with the options given:

• OA. 47 pounds 1/2
• OB. 24 pounds 1/4
• OC. 40 pounds 3/4
• OD. 4 pounds 3/4

The closest and correct amount of clay required for 10 pots is not exactly listed among the options. However, you can see that the correct calculation leads to approximately 46 pounds and 2/3, which means none of the options provided are accurate.

The correct answer is \( 46 \frac{2}{3} \) pounds which is not among the given choices.

Answer 2

no pick one of the answers listed

Answer 3

Given the options provided, the calculated requirement for clay (approximately \( 46 \frac{2}{3} \) pounds or \( 46.67 \) pounds) is closest to the value \( 47 \) pounds. Therefore, if I need to select one of the options presented, I would choose:

OA. 47 pounds 1/2.

Answer 4

sorry, David used 14 1/4 pounds of clay to make 3 pots.

Answer 5

No problem! Let's recalculate using the updated amount of clay, which is \( 14 \frac{1}{4} \) pounds for 3 pots.

First, convert \( 14 \frac{1}{4} \) pounds to an improper fraction:

\[ 14 \frac{1}{4} = \frac{14 \times 4 + 1}{4} = \frac{56 + 1}{4} = \frac{57}{4} \text{ pounds} \]

Now, calculate the amount of clay needed for one pot:

\[ \text{Clay per pot} = \frac{\frac{57}{4} \text{ pounds}}{3 \text{ pots}} = \frac{57}{4} \times \frac{1}{3} = \frac{57}{12} \text{ pounds per pot} \]

Next, to find out how much clay is needed for 10 pots:

\[ \text{Clay for 10 pots} = 10 \text{ pots} \times \frac{57}{12} \text{ pounds/pot} = \frac{570}{12} = \frac{95}{2} \text{ pounds} = 47 \frac{1}{2} \text{ pounds} \]

Now let’s look at the options again:

• OA. 47 pounds 1/2
• OB. 24 pounds 1/4
• OC. 40 pounds 3/4
• OD. 4 pounds 3/4

Given this calculation, the correct choice for the amount of clay needed for 10 pots is:

OA. 47 pounds 1/2.