Answer:
Bag 1: 20
Bag 2: 40
Step-by-step explanation:
Let x be the amount taken out of bag 2
Then the amount left in each bag can be written as:
Bag 1: 50-3x
Bag 2: 50-x
Since we know that half of bag 2 is bag 1, that gives us:
50-3x = 1/2(50-x)
-> 50-3x = 25-x/2
Now lets isolate x and solve:
25 = 5x/2
-> 50 = 5x
-> x = 10
So plug x bag in for the original equations:
Bag 1: 50-3x = 50-3(10) = 20
Bag 2: 50-x = 50-10 = 40
Answer:
4 x 3, 1/2 x 4, 1/2 x 3
Step-by-step explanation:
<span>75 lbs of Earl Grey
225 lbs of Orange Pekoe
Some definitions.
E = number of pounds of Earl Grey
(300-E) = number of pounds of Orange Pekoe
Expression for selling price of new blend
P=300*4.5
"there is to be no difference in revenue from selling the new blend versus selling the other types." so
P = 6E + 4(300-E)
Set them equal to each other, then solve for E
300*4.5 = 6E + 4(300-E)
1350 = 6E + 1200 - 4E
150 = 6E - 4E
150 = 2E
75 = E
So 75 lbs of Earl Grey was used and 300-75 = 225 lbs of Orange Pekoe</span>
Y/12+6=-72 Y/12=-78 Y=-6.5
