Question
1. A Charity ball costs $2700 for the banquet hall rental plus $75 per person for food. If tickets to the event are sold at
1. A Charity ball costs $2700 for the banquet hall rental plus $75 per person for food. If tickets to the event are sold at $120 each, then the number of tickets that must be sold to break even is?
2. Jill has worked out a system of equations to represent the expenses and revenue for running her lemonade stand.
C = 21 + 0.10n
C = 0.85n
How many glasses of lemonade, n, must Jill sell to break even?
3. Brian paints pictures at the town dock and sells them to tourists. It cost him $45 for paint supplies plus $3 for each canvas. If he charges $12 per painting, how many must he sell to break even?
4. Sanjeet's widget company has a constant cost of $330 every month, plus $10 per widget manufactured. He sells each widget for $25. A system of equations to represent Sanjeet's expenses and revenue is
C = 330 + 10n
C = 25n
How many widgets, n, must Sanjeet sell every month in order to break even?
5. Sophia works at Electronic Plus for $50.00 per day plus a $3.00 commission for each item sold. Luke works at Techno Gadgets for $56.00 per day plus a $2.50 commission for each item sold. How many items must be sold in order for them to make the same amount of money in 1 day?
6. Doris buys old lamps at the flea market and restores them to sell in her antique shop. It cost her $224 to rent a truck and $17 per lamp. She plans to charge $49 for each lamp. How many lamps must she sell to break even?
7. Deborah babysits for a fee of $25 for one evening plus $1 per diaper change. Cindy charges $20 for one evening plus $2 per diaper change. How many diapers does each girl have to change in order to charge the same total fee?
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