Write The Following Statement As An Equation And Solve:Jake Drewrey, Owner Of Jake's Landscape Service, Knows That One Of His Fertilizer Tanks Holds Three Times As Many Gallons Of Liquid Fertilizer As A Second Tank. The Two Tanks Together Hold 366
**Solving the Fertilizer Tank Problem: A Step-by-Step Guide**
Understanding the Problem
Jake Drewrey, owner of Jake's Landscape Service, is facing a problem with his fertilizer tanks. He knows that one of his tanks holds three times as many gallons of liquid fertilizer as a second tank. Together, the two tanks hold 366 gallons of liquid fertilizer. Our goal is to find out how many gallons of liquid fertilizer each tank holds.
Writing the Equation
Let's denote the number of gallons in the smaller tank as x. Since the larger tank holds three times as many gallons as the smaller tank, the number of gallons in the larger tank is 3x. Together, the two tanks hold 366 gallons, so we can write the equation:
x + 3x = 366
Simplifying the Equation
To simplify the equation, we can combine like terms:
4x = 366
Solving for x
To solve for x, we need to isolate x on one side of the equation. We can do this by dividing both sides of the equation by 4:
x = 366 ÷ 4 x = 91.5
Finding the Number of Gallons in Each Tank
Now that we know the value of x, we can find the number of gallons in each tank. The smaller tank holds x gallons, which is 91.5 gallons. The larger tank holds 3x gallons, which is 3(91.5) = 274.5 gallons.
Q&A
Q: What is the total number of gallons of liquid fertilizer in the two tanks? A: The total number of gallons of liquid fertilizer in the two tanks is 366 gallons.
Q: How many gallons of liquid fertilizer does the smaller tank hold? A: The smaller tank holds 91.5 gallons of liquid fertilizer.
Q: How many gallons of liquid fertilizer does the larger tank hold? A: The larger tank holds 274.5 gallons of liquid fertilizer.
Q: What is the ratio of the number of gallons in the larger tank to the number of gallons in the smaller tank? A: The ratio of the number of gallons in the larger tank to the number of gallons in the smaller tank is 3:1.
Q: If the price of liquid fertilizer is $0.50 per gallon, how much will it cost to fill the two tanks? A: The cost to fill the two tanks will be 366 gallons x $0.50 per gallon = $183.
Q: If the price of liquid fertilizer increases to $0.60 per gallon, how much will it cost to fill the two tanks? A: The cost to fill the two tanks will be 366 gallons x $0.60 per gallon = $219.60.
Conclusion
In this article, we solved a problem involving two fertilizer tanks. We wrote an equation to represent the situation, simplified the equation, and solved for the number of gallons in each tank. We also answered several questions related to the problem, including the total number of gallons in the two tanks, the number of gallons in each tank, and the cost to fill the two tanks at different prices.