A two-variable linear equation can represent two kinds of sales adding to one total. Multiply each price by the letter that counts that ticket type, then add the amounts. The key check is which price belongs with each letter: switching them changes the situation, and subtracting one amount treats sales as a loss.
Hints
- Hint 1
A coefficient is the number multiplying a letter. Each coefficient should be the price of the ticket type that letter counts. What price belongs beside , the standard-ticket count?
- Hint 2
Each term represents money collected from one ticket type. Because both kinds contribute to the total, how should you join those amounts, and what should they equal?
Step-by-step
Build the total from the two ticket types
Step 1Find the money from standard tickets
No Desmos needed. You're translating prices into an equation, not solving one. The revenue, or money collected, from standard tickets is dollars: each costs $3, and counts how many sold. Match each price to the letter counting that ticket type.
- Step 2
Find the money from premium tickets
Each premium ticket costs $7, and counts how many sold, so premium tickets bring in dollars. The coefficient is the price of one premium ticket, not the number sold.
- Step 3
Add the amounts to match the total
The club collected $148 from both kinds together, so set the sum of their revenues equal to the total:
Subtracting would treat premium sales as money lost. This equation represents the club's total raffle-ticket revenue. Choice D.