Q33: A large container is partially filled with n liters of water

October 15, 2026

2018 Test B Math · Question 33 of 57

A large container is partially filled with $n$ liters of water. Ito adds 10 liters of water to the container, making it 60% full. If Ignacio adds 6 more liters of water, the container will be 75% full. What is the value of $n$ ?

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Correct answer: A

Let $x$ be the total number of liters the container can hold.

$.6x=n+10$

$.75x=n+16$

First, solve each equation for $x$ :

Equation 1:

$.6x=n+10$

$60x=100n+1000$

$x=frac{100n+1000}{60}=frac{5n+50}{3}$

Equation 2:

$.75x=n+16$

$75x=100n+1600$

$x=frac{100n+1600}{75}=frac{4n+64}{3}$

Now, set the two equations equal to each other and solve for $n$ .

$frac{5n+50}{3}=frac{4n+64}{3}$

$3(frac{5n+50}{3}=frac{4n+64}{3})3$

$5n+50=4n+64$

$5n-4n=64-50$

$n=14$