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 each.how many bags of clay will eva need to make both pieces of pottery?how man pounds of clay will she have left over? please show me your work.
she needs 2 bags and she will have 1 1/10 pond left over
3/5 = 6/10
6/10 + 7/10 = 13/10 = 1 3/10 pounds needed
3 * 4/5 = 12/5 = 2 2/5 pounds
2 4/10 - 1 3/10 = _______ pounds left over
1 3/10 bags.
1 1/10 pounds.
Its actually 1 1/10
To find out how many bags of clay Eva will need to make both pieces of pottery, we need to calculate the total weight of clay required for both pieces.
The weight of the first piece of pottery is 3/5 pound.
The weight of the second piece of pottery is 7/10 pound.
To find the total weight, we'll add these two amounts:
3/5 + 7/10
To add these fractions, we need a common denominator. The least common multiple (LCM) of 5 and 10 is 10. So, we'll rewrite the fractions with a denominator of 10:
(3/5) * (2/2) = 6/10
(7/10)
Now, we can add the fractions:
6/10 + 7/10 = 13/10
The total weight of clay required for both pieces is 13/10 pound.
Eva has three bags of clay, and each bag weighs 4/5 pound. To figure out the number of bags she needs, we'll divide the total weight required by the weight of each bag:
(13/10) ÷ (4/5) = (13/10) * (5/4)
Multiplying fractions is done by multiplying the numerators and denominators:
(13 * 5) / (10 * 4) = 65/40
Now, we can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 5:
(65/5) / (40/5) = 13/8
Therefore, Eva will need 13/8 bags of clay to make both pieces.
Now, let's calculate the remaining clay:
Eva has three bags of clay, and each bag weighs 4/5 pound. So, she has a total of (3 * 4/5) = 12/5 pound of clay.
To find the clay left over, we'll subtract the total weight required from the clay she has:
(12/5) - (13/10)
To subtract fractions, we need a common denominator. The LCM of 5 and 10 is 10:
(12/5) - (13/10) = (24/10) - (13/10)
Now, we can subtract the fractions:
(24 - 13)/10 = 11/10
Therefore, Eva will have 11/10 pound of clay left over after making both pieces.
In summary:
- Eva will need 13/8 bags of clay to make both pieces of pottery.
- She will have 11/10 pound of clay left over.