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The total combined volume of a glass, a jar, and a pitcher is 54 liters. If the jar has the same volume as 3 glasses and the pitcher has the same volume as 5 glasses, what is the volume of the glass?

User Dek Dekku
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7.8k points

2 Answers

5 votes

Answer:


\Large \boxed{\sf 6 \ liters}

Explanation:

Let the volume of the glass be x.

Let the volume of the jar be y.

Let the volume of the pitcher be z.


\sf y = 3x \\\\z = 5x


\sf x + y + z = 54

Substitution method.


\sf x+3x+5x=54

Combining like terms.


\sf 9x = 54

Dividing both sides by 9.


\sf x = 6

The volume of the glass is 6 liters.

User Bart Krakowski
by
9.1k points
5 votes

Answer:

6 liters.

Explanation:

So we have a glass, a jar, and a pitcher and together, they hold 54 liters.

We are told that the jar has the same volume as 3 glasses and the pitcher has the same volume as 5 glasses. In other words, let g denote glasses, j denote jars, and p denote pitchers:


g+j+p=54

Since jar is the same as 3 glasses, this means that j=3g. And since the pitcher is the same as 5 glasses, this means that p=5g. Substitute:


g+(3g)+(5g)=54

Combine like terms:


9g=54

Divide both sides by 9. The left cancels:


(9g)/9=54/9\\g=6

Therefore, the volume of the glass is 6 liters.

User Cucko
by
8.3k points

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