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Liam and evan are mixing paint. Liam uses 2 quarts of yellow paint and adds 3 1/4 jars of blue paint. Evan uses 1/2 quart of yellow paint and adds 5 1/2 jars of red paint. They end up with the same volume of paint. Write an equation to represent the situation.

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Answer:

The required equation is given by,

2 + [tex]\frac {13x}{4}[/tex] = [tex]\frac {1}{2} + \frac {11y}{2}[/tex]

Step-by-step explanation:

Let, each jar of  Liam's paint contains x quarts of paint.

Then, Liam's solution contains,

2 + [tex]3\dfrac {1}{4} \times x[/tex]  quarts of paint  or,

2 + [tex]\frac {13x}{4}[/tex] quarts of paint

and,

let, each jar of Evan's paint  contains, y quarts of paint.

Then, Evan's solution contains,

[tex]\frac {1}{2} + 5 \dfrac {1}{2} \times y[/tex] quarts of paint or,

[tex]\frac {1}{2} + \frac {11y}{2}[/tex] quarts of paint

now, according to the question,

the required equation is given by,

2 + [tex]\frac {13x}{4}[/tex] = [tex]\frac {1}{2} + \frac {11y}{2}[/tex]

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