Name: ____________________
Period: ________
Date: _______________
1. A movie theater sells tickets for
$9.00 each. Senior citizens receive a
discount of $3.00. One evening the
theater sold 636 tickets and took in
$4974 in revenue. How many tickets
were sold to seniors?
2. Sarah has $12.45 in quarters and
nickels. The number of nickels she has
is 39 more than the number of
quarters. How many of each coin does
she have?
3. Mrs. Applegate bought some $0.02
and $0.03 stamps for sending
Christmas cards. If she spent $7.41
and bought 281 stamps, how many
stamps of each variety did she buy?
4. A second run movie theater charges
$4 for an adult and $2 for a child’s
ticket. One night, 380 tickets were sold
for a total of $1320. How many
children attended the movie that night?
5. John bought 3 lbs. of meat and 2
lbs. of cheese for $4.14. If he had
bought 2 lbs. of meat and 3 lbs. of
cheese, his bill would have been
$3.91. What did the meat and cheese
each cost per pound?
6. The perimeter of a rectangular plot
of land is 312 feet. If the length is 6
feet more than 5 times the width, what
are the length and width?
7. A landscaping company placed two
orders with a nursery. The first order
was for 13 bushes and 4 trees and
totalled $487. The second order was
for 6 bushes and 2 trees, and totalled
$232. The bill doesn’t list the price per
item. What is the cost of one bush and
one tree?
8. The admission fee at a small fair is
$1.50 for children and $4.00 for adults.
On a certain day, 2200 people enter
the fair and $5050 is collected. How
many children and how many adults
attended?
9. Sue has $21.40 in dimes and
quarters and a total of 100 coins. How
many of each kind of coin does she
have?
10. The club sold 300 lbs. of granola
bars for $111. The peanut butter bars
cost $0.40 per pound and the
chocolate chip cost $0.35 per pound.
How many pounds of each kind were
there?
11. The length of a rectangular table is
6 times its width. The perimeter of the
table is 98 feet. Find the length and
width of the table.
12. Mitch put $4.55 in dimes and
quarters on his desk. He has seven
more quarters than dimes. Find the
number of dimes.
A movie theater sells tickets
for $9.00 each. Senior citizens
receive a discount of $3.00.
One evening the theater sold
636 tickets and took in $4974
in revenue. How many tickets
were sold to seniors?
x  y  636
9 x  6 y  4974
(386, 250)
Sarah has $12.45 in quarters
and nickels. The number of
nickels she has is 39 more
than the number of quarters.
How many of each coin does
she have?
Mrs. Applegate bought some
$0.02 and $0.03 stamps for
sending Christmas cards. If
she spent $7.41 and bought
281 stamps, how many
stamps of each variety did
she buy?
0.25x  0.05y  12.45 x  y  281
y  x  39
0.02x  0.03y  7.41
(35, 74)
(102, 179)
A second run movie theater
charges $4 for an adult and
$2 for a child’s ticket. One
night, 380 tickets were sold
for a total of $1320. How
many children attended the
movie that night?
4 x  2 y  1320
x  y  380
(280, 100)
John bought 3 lbs. of meat
and 2 lbs. of cheese for
$4.14. If he had bought 2 lbs.
of meat and 3 lbs. of cheese,
his bill would have been
$3.91. What did the meat and
cheese each cost per pound?
3x  2 y  4.14
2 x  3 y  3.91
(0.92, 0.69)
The perimeter of a
rectangular plot of land is 312
feet. If the length is 6 feet
more than 5 times the width,
what are the length and
width?
A landscaping company
placed two orders with a
nursery. The first order was
for 13 bushes and 4 trees and
totaled $487. The second
order was for 6 bushes and 2
trees, and totaled $232. The
bill doesn’t list the price per
item. What is the cost of one
bush and one tree?
The admission fee at a small
fair is $1.50 for children and
$4.00 for adults. On a certain
day, 2200 people enter the
fair and $5050 is collected.
How many children and how
many adults attended?
2 x  2 y  312
13x  4 y  487
1.50x  4 y  5050
x  5y  6
6 x  2 y  232
x  y  2200
(131, 25)
(23, 47)
(1500, 700)
Sue has $21.40 in dimes and
quarters and a total of 100
coins. How many of each kind
of coin does she have?
The club sold 300 lbs. of
granola bars for $111. The
peanut butter bars cost $0.40
per pound and the chocolate
chip cost $0.35 per pound.
How many pounds of each
kind were there?
x  y  300
x  y  100
0.10x  0.25y  21.40 0.40x  0.35y  111
(24, 76)
(120, 180)
The length of a rectangular
table is 6 times its width. The
perimeter of the table is 98
feet. Find the length and width
of the table.
Mitch put $4.55 in dimes and
quarters on his desk. He has
seven more quarters than
dimes. Find the number of
dimes.
x  6y
y  x7
2 x  2 y  98
0.10x  0.25y  4.55
(42, 7)
(8, 15)