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wlad13 [49]
3 years ago
9

Stan lawn mower had 1/8 of a gallon of gasoline in the tank. Stan started mowing and used all of the gasoline. He put 6/10 of a

gallon of gasoline in the tank. After he mowed 1/4 of a gallon was left in the tank. What was the total amount of gasoline stan used?
Mathematics
1 answer:
tigry1 [53]3 years ago
5 0

Answer: Stan used \frac{1}{24}\ gallon of gasoline.


Step-by-step explanation:

Given: The amount of gasoline in the tank of Stan lawn mower=\frac{1}{8}\ of\ gallon

Then he put the amount of gasoline in the tank=\frac{1}{6}\ of\ gallon

The total  amount of gasoline filled in the tank =\frac{1}{8}+\frac{1}{6}\ gallons

⇒ The total amount of gasoline filled in the tank =\frac{3+4}{24}=\frac{7}{24}\ gallons

The amount of gasoline left in the tank after mowing=\frac{1}{4}\ of\ gallon

Now, the total gasoline used by Stan=\frac{7}{24}-\frac{1}{4}=\frac{7-6}{24}=\frac{1}{24}\ gallon


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Step-by-step explanation:

let the two numbers be x and y

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let the difference between the two numbers be

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from equation 1

x+y = -17 ..................................................... equation 1

x = -17 - y ............................................................... equation 3

substitute for x in equation 2

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