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(50 points, Math) TechWiz Electronics makes a profit of $35
for each MP3 player sold and $18
for each DVD player sold. Last week, TechWiz sold a combined total of 121
MP3 and DVD players. Let x
be the number of MP3 players TechWiz sold last week. Write an expression for the combined total profit (in dollars) TechWiz made from MP3 and DVD players last week

Answer :

The total profit TechWiz made from MP3 and DVD players last week is [tex]$17 x+2178$[/tex]

Explanation:

Let x represent the number of MP3 players TechWiz sold last week.

Let y represent the number of DVD players TechWiz sold last week.

The profit made by TechWiz on each MP3 player = $35

The profit made by TechWiz on each DVD player = $18

Total number of MP3 and DVD players TechWiz sold last week is 121

Number of DVD players TechWiz sold last week [tex]y = 121 - x[/tex]

The total profit TechWiz made from MP3 and DVD players last week is given by

[tex]35x+18y[/tex]

Substituting [tex]y = 121 - x[/tex] in [tex]35x+18y[/tex], we get,

[tex]35x+18(121-x)[/tex]

Simplifying, we get,

[tex]35x+2178-18x\\17x+2178[/tex]

Thus, the total profit TechWiz made from MP3 and DVD players last week is [tex]$17 x+2178$[/tex]

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