2.1 lb, 3.9 lb
First person ate 2.1 pounds and second person ate 4.8 pounds
First we find the common denominator. So 3/5=12/20. 12/20+3/20+15/20. That means that 5/20=1.5 lb. So 1/20=.3 pounds. So person number one ate .9+1.2=2.1 pounds of candy and person number two ate 4.5+.3=4.8
Let the total weight of the candy = x
We know the total weight is:
X = 3/20x + 1.2 + 3/5x+ 0.3
X= 3/20x + 1.2 + 12/20x + 0.3
X = 15/20x + 1.5
Subtract 15/20x from both sides:
5/20x = 1.5
Divide both sides by 5/20:
X = 1.5 / 5/20
X = 6
Total = 6 pounds.
Let us say there are x number of candies .
For first student,
He ate 3/20 of all candies, so 3/20 (x)
He also ate 1.2 lb of candies.
Total candies first student ate = (3/20) x +1.2
Second student ate 3/5 of all candies that is (3/5)x
He also ate 0.3 lb of candies.
Total candies second student ate = (3/5)x +0.3
Since total candies for both will be same, so equating the two expressions
So there are 2 lb of candies in total.
First student ate = 0.3 +1.2 = 1.5lb of candies.
Second student ate = 1.5 lb of candies
The first student ate 1.35lbs. The second student ate .63lbs.
3/20=.15, plus another 1.2=1.35
3/5=.60, plus another .03=.63
In total, both students ate 1.98lbs of candies.
The total weight of candies is unknown. Let x = the total weight of candies.
"One student ate 3/20 of all candies and another 1.2 lb":
The first student ate (3/20)x plus 1.2 lb which is 0.15x + 1.2.
"The second student ate 3/5 of the candies and the remaining 0.3 lb."
The second student ate (3/5)x and 0.3 lb which is 0.6x + 0.3.
Altogether the 2 students ate 0.15x + 1.2 + 0.6x + 0.3.
That was all the amount of candies, so that sum equals x.
0.15x + 1.2 + 0.6x + 0.3 = x
Now we solve the equation for x to find what the total amount of candies was.
0.75x + 1.5 = x
-0.25x = -1.5
x = 6
The total amount of candies was 6 lb.
The first student ate 0.15x + 1.2 = 0.15(6) + 1.2 = 0.9 + 1.2 = 2.1, or 2.1 lb of candies.
The second student ate 0.6x + 0.3 = 0.6(6) + 0.3 = 3.6 + 0.3 = 3.9, or 3.9 lb of candies.
The first student ate 2.1 lb of candies, and the second student ate 3.9 lb of candies.
Second one are .63lb
the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1