1. **State the problem:**
TechWiz Electronics makes a profit of 35 for each MP3 player sold and 136 for each DVD player sold. Last week, they sold a combined total of MP3 and DVD players. Let $x$ be the number of MP3 players sold last week.
2. **Define variables:**
Let $x$ = number of MP3 players sold.
Let $y$ = number of DVD players sold.
3. **Write the total number of players sold:**
Since the total number of MP3 and DVD players sold is a combined total, we have:
$$x + y = \text{total number sold}$$
4. **Express $y$ in terms of $x$:**
$$y = \text{total number sold} - x$$
5. **Write the profit expression:**
Profit from MP3 players = $35x$
Profit from DVD players = $136y$
6. **Substitute $y$ into profit expression:**
$$\text{Total profit} = 35x + 136(\text{total number sold} - x)$$
7. **Simplify the expression:**
$$\text{Total profit} = 35x + 136 \times \text{total number sold} - 136x$$
$$= (35x - 136x) + 136 \times \text{total number sold}$$
$$= -101x + 136 \times \text{total number sold}$$
**Final expression:**
$$\boxed{\text{Total profit} = 136 \times \text{total number sold} - 101x}$$
This expression gives the combined total profit in terms of $x$, the number of MP3 players sold, and the total number of players sold.
Profit Expression Fdfad2
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