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A college student realized that he was spending too much money on music. For the remaining 5 months of the year his goal is to spend a mean of $60 a month towards music. How much can he spend in December, taking in consideration that in the other 4 months he spent $70, $30, $40, and $120 respectfully? Round your answer to two decimal places if necessary.

Answer :

Given:

A college student realized that he was spending too much money on music.

he spent $70, $30, $40, and $120 respectfully for 4 months

We will find the how much he will spend in the fifth month such that the mean = $60

Let the amount he will spend = x

So, we can write the following equation:

[tex]\frac{70+30+40+120+x}{5}=60[/tex]

Solve the equation to find x:

[tex]\begin{gathered} 70+30+40+120+x=60*5 \\ 260+x=300 \\ x=300-260 \\ x=40 \end{gathered}[/tex]

So, the answer will be:

He can spend in December = $40

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