1. The Science Club needs to rent a bus for a field trip. Main Street Buses charges a $40 rental fee, plus $2 per mile. County Bus Line charges a $20 rental fee, plus $3 per mile. For what number of miles will the total charge be the same? What will that charge be?
2. Maryann and Carlos are each saving for new scooters. So far, Maryann has $9 saved,
and can earn $6 per hour babysitting. Carlos has $3 saved, and can earn $9 per hour
working at his family’s restaurant. After how many hours of work will Maryann and Carlos
have saved the same amount? What will that amount be?
3. A professional organizer charges a $45 consultation fee, plus
$20 per hour. Her competitor charges a $30 consultation fee,
plus $26 per hour.
a. Write a system of equations to represent the situation.
b. Solve the system by substitution. For what number of hours
will the total charge be the same?
c.What will that charge be?
4. Carla and Benicio work in a men’s clothing store. They earn commission from each suit and each pair of shoes they sell. For selling 3 suits and one pair of shoes, Carla has earned $47 in commission. For selling 7 suits and 2 pairs of shoes, Benicio has earned $107 in commission. How much do the
salespeople earn for the sale of a suit? for the sale of a pair of shoes?
5. The sum of two numbers is -1. When twice the first number and four times the second number are added, the sum is -10. What are the two numbers?
6. Carl bought 19 apples of 2 different varieties to make a pie. The total cost of the apples was $5.10. Granny Smith apples cost $0.25 each and Gala apples cost $0.30 each. How many of each type of apple did Carl buy?
7. At a factory, Jin assembles 12 parts each minute. He has assembled 156 parts when Summer starts on the line, assembling at a pace of 15 parts per minute. If their assembly rates continue, will Summer ever catch up to Jin? Explain.