Answer:
2 pounds.
Step-by-step explanation:
We have been given that Luke bought 256 ounces of strawberries. He divided them evenly between 8 different pies. We are asked to find the pounds of strawberries that Luke put on each pie.
First of all, we will convert 256 ounces into pounds.
We know that 1 pound equals 16 ounces. To convert 256 ounces into pounds, we need to divide 256 by 16.
![\text{256 ounces}=\frac{256}{16}\text{ pounds}=16\text{ pounds}](https://tex.z-dn.net/?f=%5Ctext%7B256%20ounces%7D%3D%5Cfrac%7B256%7D%7B16%7D%5Ctext%7B%20pounds%7D%3D16%5Ctext%7B%20pounds%7D)
Now we will divide 16 pounds by 8 to find number of strawberries put on each pie.
![\text{Pounds of strawberries on each pie}=\frac{16}{8}](https://tex.z-dn.net/?f=%5Ctext%7BPounds%20of%20strawberries%20on%20each%20pie%7D%3D%5Cfrac%7B16%7D%7B8%7D)
![\text{Pounds of strawberries on each pie}=2](https://tex.z-dn.net/?f=%5Ctext%7BPounds%20of%20strawberries%20on%20each%20pie%7D%3D2)
Therefore, Luke put 2 pounds strawberries on each pie.
1/2 + 3/x = 3/4
3/x = 3/4 - 1/2
3/x = 3/4 - 2/4
3/x = 1/4....this is a proportion, so we cross multiply
(1)(x) = (3)(4)
x = 12
check..
1/2 + 3/12 = 3/4
6/12 + 3/12 = 3/4
9/12 = 3/4
3/4 = 3/4 (correct)
so x = 12
Answer:
here you go
Step-by-step explanation:
We do like the following:
Set the first number is a and the second is b.
We have two equations: a+2xb=24, 2xa+b=21
And we have 2xa+4xb=48 or 2xa=48-4xb
So: 48-4xb+b=21 or -3xb=21-48=-27 and we got b=-27:(-3)=9 and a= 6
a=6 and b=9