two bags had 100 kilograms of sugar each. After taking out 3 times as much sugar from bag one than bag two , bag one had half as much sugar was bag two.How much sugar is left in each bag?
i got 9 kilogram in bag on 1 and 0 grams in bag 2
take x from bag 2
take 3x from bag 1
amount now in bag 2 = 100 - x
amount now in bag 1 = 100 - 3x
100 - 3 x = (1/2)(100 - x)
200 - 6 x = 100 - x
5 x = 100
x = 20
so
bag 1 = 100 - 3(20) = 40
bag 2 = 100 - 20 = 80
x: garden 1 bushes
y: garden 2 bushes
x = y+9
(x+3) = (3/2)(y-3)
y+9+3 = (3/2)(y-3)
2y+24 = 3y-9
y = 33
so, x = 42
check:
42+3 = (3/2)(33-3)
45 = 3/2 * 30 yep
Bag 1 =40
Bag 3 =80
To solve this problem, we can break it down into smaller steps:
Step 1: Find the initial amount of sugar in each bag.
Since both bags initially had 100 kilograms of sugar each, the total amount of sugar in both bags is 100 + 100 = 200 kilograms.
Step 2: Calculate the amount of sugar taken out from bag one and bag two.
Let's assume that x kilograms of sugar were taken out from bag two. According to the problem, 3 times as much sugar was taken out from bag one. So, the amount of sugar taken out from bag one is 3x kilograms.
Step 3: Calculate the remaining amount of sugar in each bag.
After taking out the sugar, bag one had half as much sugar as bag two. So, the remaining amount of sugar in bag one is (100 - 3x) kilograms, and the remaining amount of sugar in bag two is (100 - x) kilograms.
Step 4: Set up an equation and solve for x.
From step 3, we know that (100 - 3x) = 1/2 * (100 - x).
Let's solve this equation:
100 - 3x = (1/2)(100 - x)
Multiplying both sides of the equation by 2 gives:
200 - 6x = 100 - x
Simplifying the equation:
-6x + x = 100 - 200
-5x = -100
Dividing both sides by -5:
x = 20
Step 5: Calculate the remaining amount of sugar in each bag using the value of x.
Using x = 20, we can substitute it back into the equations from step 3:
Remaining sugar in bag one = 100 - 3*20 = 100 - 60 = 40 kilograms
Remaining sugar in bag two = 100 - 20 = 80 kilograms
Thus, there are 40 kilograms of sugar left in bag one and 80 kilograms of sugar left in bag two.
Yes, it is possible, but what did you do?
Hey anonymous ur 3 years late lol
X:The amount of bushes in garden 2
garden 1: x+9
garden 2: x
Garden 1 has three less bushes now, and garden 2 has three more.
garden 1: x+9-3=X+6
garden 2: x+3
Garden 1 has 1.5 times more bushes than garden 2.
x+6=1.5(x+3)
x+6=1.5x+4.5
x+1.5=1.5x
1.5=0.5x
x=3
Garden 1: 9 bushes
can you check this one:
green one has 9 more bushes of red currant than garden two. if 3 bushes from garden 2 were placed in garden 1 then garden 1 will have 1.5 times more bushes than garden two. how many bushes were in garden one
i got no solutions
x-9+3=x-3
0=3
-3x+2*(-x)
x=0