Download Solving Real-World Problems

Solving Real-World Problems Using Systems of Equations I
Name ___________________________
1. Movie tickets at a local theater costs $6 for adults and $2 for children under twelve. If 175 tickets were
sold, with cash receipts of $750, Write a system of equations that could determine how many
children’s tickets were sold?
X = ____________________________________
Y = ____________________________________
Equation 1: _____________________________
Equation 2: _____________________________
2. A jar filled with only nickels and dimes contains a total number of 72 coins. The value of all the coins
in the jar is $5.60. Write a system of equations that could determine how many dimes are in the
jar?
X = ____________________________________
Equation 1: _____________________________
Y = ____________________________________
Equation 2: _____________________________
3. A chemistry lab can be used by 38 students at one time. The lab has 16 workstations, some set up for
two students each and the others set up for three students each. Write a system of equations that could
determine how many workstations accommodate two students?
X = ____________________________________
Y = ____________________________________
Equation 1: _____________________________
Equation 2: _____________________________
4. Cars-4-Hire charges $18 plus $0.15 per mile for the rental of a standard car each day. The same type of
car at U-Rent-It costs $20 plus $0.10 per mile each day. Write a system of equations that could
determine what mileage results in equal rental charges for both cars on a given day?
X = ____________________________________
Y = ____________________________________
Equation 1: _____________________________
Equation 2: _____________________________
5. When Regina graduated from college, she was offered two jobs. One paid a starting salary of $30,000
annually, plus guaranteed increases of $2,000 per year. The other paid a starting salary of $25,000
annually, plus guaranteed increases of $3,000 per year. Write a system of equations that could
determine after how many years would the salaries be equal?
X = ____________________________________
Y = ____________________________________
Equation 1: _____________________________
Equation 2: _____________________________
6. The PHS cheerleaders are making a healthy trail mix to sell for a fundraiser. The number of raisins in
the bag equals three times the amount of peanuts. Peanuts cost $4 per pound and raisins cost $1.50 per
pound. If the group has $34 to spend on the raisins and peanuts, write a system of equations that
could determine how many pounds of each should they buy?
X = ____________________________________
Y = ____________________________________
Equation 1: _____________________________
Equation 2: _____________________________