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 3 bags of clay that weigh 4/5 pounds each. How many bags of clay will Eva need to make both pieces of pottery? How many pounds of clay will she have left?

we know that

Eva needs pound of clay for one piece and pound of clay for the other piece

Step 1

Find the total pound of clay for the two pieces

Eva has bags of clay that weigh pounds each.

Step 2

Find the total weigh of the bags of clay

Part a ) How many bags of clay will Eva need to make both pieces of pottery?

by using proportion

therefore

the answer Part a)

she needs bags

Part b) How many pounds of clay will she have left?

Calculate the total weigh of the bags of clay minus the total pound of clay for the two pieces

so

therefore

the answer Part b) is

Final answer:

To make both pieces of pottery, Eva will need a total of 1.3 pounds of clay. As each bag contains 4/5 pounds, she needs to buy 2 bags. After creating the pottery, Eva will have 0.3 pounds of clay left over.

Explanation:

Firstly, we need to identify how much clay Eva needs in total to create both pieces of pottery. For the first piece, she needs 3/5 pound and for the second piece, she needs 7/10 pound of clay. Adding these together provides: pounds which is the total amount of clay needed.

Each bag of clay she has weighs 4/5 pound. To calculate how many bags she needs, divide the total amount of clay required by the weight of each bag: 1.3 ÷ 4/5 = 1.625. As she can't have a fraction of a bag, she will need 2 bags of clay to have enough to create both pieces of pottery.

To calculate how much clay she will have left, we need to subtract the clay she will use from the total clay she buys: (2 bags * 4/5 pound per bag) - 1.3 pounds = 1.6 - 1.3 = 0.3 pounds. Therefore, Eva will have 0.3 pounds of clay left over.

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