Two containers are being filled with water. One begins with 8 gallons of water and is filled at a rate of 3.5 gallons per minute. The other begins with 24 gallons and is filled at 3.25 gallons per minute. Part A: Write an equation that represents the amount of water ,w, in gallons, with respect to time , in minutes, for each container. Part B: Solve the system of equations.
Answers
Answer:
x = 64 min, w = 232 g
Step-by-step explanation:
Given Two containers are being filled with water. One begins with 8 gallons of water and is filled at a rate of 3.5 gallons per minute. The other begins with 24 gallons and is filled at 3.25 gallons per minute.
Part A:
The equation is given by
w = 8 + 3.5 x
w = 24 + 3.25 x
Part B
w - 3.5 x = 8
w - 3.25 x = 24
On subtracting we get
- 0.25 x = - 16
x = 16 / 0.25 = 1600/25
x = 64 min
w - 3.5(64) = 8
w - 224 = 8
w = 8 + 224
w = 232 g
The amount of water is 232 gallons and the time to fill is 24 minutes
Answer:
218 gallons in first container and 219 gallons in second container.
Step-by-step explanation:
Let us solve the question in a simple way.
According to the question the initial amount of water in both the containers are 8 gallons and 24 gallons respectively.
Latest name the two containers as C1 & C2.
Amount of water in C1 = 8 gallons.
Amount of water in C2 = 24 gallons.
Rate of filling in C1 = 3.5 gallons / minute. i.e. 210 gallons in an hour.
Rate of filling in C2 = 3.25 gallons / minute. i.e. 195 gallons in an hour.
Therefore, after 1 hour C1 will have 218 gallons and C2 will have 219 gallons.