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W=32-0.05 n
Andrei has a glass tank. First, he wants to put some marbles in it, all of the same volume. Then, he wants to fill the tank with water until it's completely full. The given equation shown describes the volume of water,
W, measured in liters, that Andrei should use when there are
n marbles. What is the volume of the glass tank, in liters?

$W=32-0.05 n$ $\newline$ Andrei has a glass tank. First, he wants to put some marbles in it, all of the same volume. Then, he wants to fill the tank with water until it's completely full. The given equation shown describes the volume of water, $W$ , measured in liters, that Andrei should use when there are $n$ marbles. What is the volume of the glass tank, in liters?!

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Evaluate two-variable equations: word problems

Full solution

Q.

W=32-0.05 n

\newline

Andrei has a glass tank. First, he wants to put some marbles in it, all of the same volume. Then, he wants to fill the tank with water until it's completely full. The given equation shown describes the volume of water,

W

, measured in liters, that Andrei should use when there are

n

marbles. What is the volume of the glass tank, in liters?!

Understand the problem: Understand the problem. $\newline$ We are given an equation $W = 32 - 0.05n$ , where $W$ is the volume of water in liters that can be added to the tank with $n$ marbles already in it. To find the volume of the glass tank, we need to determine the maximum volume of water it can hold, which occurs when there are no marbles in the tank ( $n = 0$ ).
Substitute $n = 0$ : Substitute $n = 0$ into the equation to find the volume of the tank when it is empty. $W = 32 - 0.05(0)$
Calculate the value of W: Calculate the value of W when $n = 0$ . $W = 32 - 0.05(0) = 32 - 0 = 32$
Conclude the volume: Conclude that the volume of the glass tank is the value of $W$ when there are no marbles in it. $\newline$ The volume of the glass tank is $32$ liters.

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