eva wants to make two pieces of pottery. She needs 3/5 pound of clay for one piece and 7/10 pound of clay for the other piece. She has three bags of clay that weigh 4/5 pound a piece. How many bags of clay will eva need? How many pounds of clay will she have left over?

Question

eva wants to make two pieces of pottery. She needs 3/5 pound of clay for one piece and 7/10 pound of clay for the other piece. She has three bags of clay that weigh 4/5 pound a piece. How many bags of clay will eva need? How many pounds of clay will she have left over?

Answer 1

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Answer 2

To find out how many bags of clay Eva will need, we need to add up the amounts of clay required for each piece of pottery.

First, let's add the amounts of clay needed for both pieces:
3/5 + 7/10

To add these fractions, we need to find a common denominator. In this case, the smallest common denominator is 10. We can convert 3/5 into an equivalent fraction with a denominator of 10 by multiplying both the numerator and denominator by 2:
(3/5) x (2/2) = 6/10

Now we can add the fractions:
6/10 + 7/10 = 13/10

Since 13/10 is an improper fraction, we can simplify it to a mixed number:
13/10 = 1 3/10

Therefore, Eva needs 1 3/10 pound of clay in total.

Now let's calculate how many bags of clay Eva will need. Each bag weighs 4/5 pound, so we can divide the total amount of clay needed by the weight of one bag:
(1 3/10) ÷ (4/5)

To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:
(13/10) x (5/4)

We can cancel out common factors:
(13/2) x (5/4) = (65/8)

Therefore, Eva will need 65/8 bags of clay. However, since we can't have a fraction of a bag, we need to round up to the nearest whole number. Thus, Eva will need 9 bags of clay.

Now let's calculate the pounds of clay Eva will have left over. Since Eva has 3 bags of clay, the total weight of the clay in those bags is:
3 x (4/5) = 12/5

To find the amount of clay left over, we need to subtract the total weight of the clay needed from the total weight of the clay she has:
(12/5) - (13/10)

Again, let's find a common denominator, which in this case is 10. We can convert 12/5 into an equivalent fraction with a denominator of 10 by multiplying both the numerator and denominator by 2:
(12/5) x (2/2) = 24/10

Now we can subtract the fractions:
24/10 - 13/10 = 11/10

Therefore, Eva will have 11/10 pounds of clay left over. This can also be expressed as a mixed number:
11/10 = 1 1/10

So, Eva will have 1 1/10 pounds of clay left over.