techwiz electronics makes a profit of $35 for each mp3 player sold and $18 for each dvd player sold. let x…

techwiz electronics makes a profit of $35 for each mp3 player sold and $18 for each dvd player sold. let x be the number of mp3 players techwiz sold last week. last week, techwiz sold a combined total of 139 mp3 and dvd players last week. write an expression for the combined total profit (in dollars) techwiz made from mp3 and dvd players last week.
Answer
Explanation:
Step1: Determine number of DVD players
If $x$ is the number of MP3 players sold and the total number of MP3 and DVD players sold is 139, then the number of DVD players sold is $139 - x$.
Step2: Calculate profit from MP3 players
The profit from selling MP3 players is $35x$ (since profit per MP3 player is $35$).
Step3: Calculate profit from DVD players
The profit from selling DVD players is $18(139 - x)$ (since profit per DVD player is $18$).
Step4: Find combined profit
The combined total profit $P$ is the sum of the profit from MP3 players and DVD players. So $P=35x + 18(139 - x)$. Expand the second - term: $P = 35x+18\times139-18x$. Combine like terms: $P=(35x - 18x)+18\times139$. $P = 17x+2502$.
Answer:
$17x + 2502$