SOLUTION: Container A and Container B had 50.36 liter of water.After 9.05 liter of water was transferred from container A to B,Container A had thrice as much water as container B.How much wa

Question 984921: Container A and Container B had 50.36 liter of water.After 9.05 liter of water was transferred from container A to B,Container A had thrice as much water as container B.How much water was in container A at first?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let a = original amt in container A
let b = original amt in container B
:
Write an equation for each statement
:
Container A and Container B had 50.36 liter of water.
a + b = 50.36
b = (50.36-a); use this form for substitution
:
After 9.05 liter of water was transferred from container A to B, Container A had thrice as much water as container B.
a - 9.05 = 3(b + 9.05)
a - 9.05 = 3b + 27.15
a = 3b + 27.15 + 9.05
a = 3b + 36.20
:
How much water was in container A at first?
Replace b with (50.36-a)) in the above equation
a = 3(50.36 - a) + 36.2
a = 151.08 - 3a + 36.2
a + 3a = 151.08 + 36.2
4a = 187.28
a = 187.28/4
a = 46.82 liters originally
RELATED QUESTIONS
A cylindrical container A has radius 20 cm and height 25 cm. It is completely filled with (answered by jim_thompson5910)

Container A is half full of water. Container B will hold 9 cups of water. When the... (answered by nerdybill)

Water is poured into the container until the water level is 4cm from the top.If the... (answered by KMST)

Hi Containers A B and C contained water. 1/5 was poured from A to B. 1/6 of the water... (answered by CPhill)

Q 1.Peggy had $240 more than Joyce. After Joyce gave Peggy $80,the ratio of Joyce money... (answered by josgarithmetic,MathTherapy)

a container measures 18cm by 22cm by 30cm. it is 1/2 filled with water. water from a jug... (answered by Theo)

The bacteria in a 9-liter container doubble every 4 minutes. After 54 minutes the... (answered by ankor@dixie-net.com)

Container A was filled with water to the brim. Then, some of the water was poured into... (answered by mananth,greenestamps,ikleyn,Edwin McCravy)

You have an unmarked 9-liter container, an unmarked 4-liter container, and an unlimited... (answered by macston)