Answers:
- Ramirez = 15
- Williams = 20
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Step-by-step explanation:
R = sprinkler rate for the Ramirez family
W = sprinkler rate for the Williams family
Each rate is in liters per hour.
The Ramirez family used their sprinkler for 15 hours. This means they use 15R liters of water. Multiply the unit rate with the time duration to figure out how much water is used overall. The Williams family uses 30W liters of water for similar reasoning.
In total, the two families use up 15R+30W liters. Set this equal to the 825 liters mentioned to get the first equation 15R+30W = 825
The second equation to set up is R+W = 35 because it mentions their combined sprinkler rate is 35 liters per hour.
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We have this system of equations
Let's solve the second equation for W
R+W = 35
W = 35-R
Then plug this into the first equation and solve for R
15R+30W = 825
15R + 30(35-R) = 825
15R + 1050 - 30R = 825
-15R + 1050 = 825
-15R = 825-1050
-15R = -225
R = (-225)/(-15)
R = 15
The Ramirez family uses water at a rate of 15 liters per hour.
Use this to find W
W = 35-R
W = 35-15
W = 20
The Williams family uses water at a rate of 20 liters per hour.