Applications of Systems
Solve the real-world problems.
Name:
1)
At an amusement park, five hot dogs and one
drink cost $23. Two hot dogs and three drinks
cost $17. Find the cost per hot dog and the cost
per drink.
2)
The sum of two numbers is 66. The difference of
the same two numbers is 92. What are the
numbers?
3)
The local community college theater put on a
production of Chicago. There were 186 tickets
sold, some for $16 (nonstudent price) and others
for $12 (student price). If the receipts for one
performance totaled $2640, how many of each
type of ticket were sold?
4)
The sum of two numbers is 658. The difference
of the same two numbers is 400. What are the
numbers?
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Applications of Systems
Name:
5)
Joe bought lunch for his fellow office workers on
Monday. He spent $7.35 on 3 hamburgers and 2
fish sandwiches. Corey bought lunch on Tuesday
and spent $7.15 for 4 hamburgers and 1 fish
sandwich. What is the price of 1 hamburger, and
what is the price of 1 fish sandwich?
6)
The sum of two numbers is -119. The difference
of the same two numbers is 65. What are the
numbers?
7)
Meesha has a pocket full of change consisting of
dimes and quarters. The total value is $3.15.
There are 7 more quarters than dimes. How
many of each coin are there?
8)
The sum of two numbers is -65. The difference
of the same two numbers is 119. What are the
numbers?
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Applications of Systems
9)
A coin collection consists of 50¢ pieces and $1
coins. If there are 21 coins worth $15.50, how
many 50¢ pieces and $1 coins are there?
11) A large pizza at Pizza Hut costs $6.80 plus $0.90
for each topping. The cost of a large cheese pizza
at Armetto’s Pizza is $7.30 plus $0.65 for each
topping. How many toppings need to be added to
a large cheese pizza from Pizza Hut and
Armetto’s Pizza in order for the pizzas to cost
the same, not including tax?
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Name:
10) The sum of two numbers is -125. The difference
of the same two numbers is 653. What are the
numbers?
12) The sum of two numbers is 343. The difference
of the same two numbers is -31. What are the
numbers?
Applications of Systems
Name:
13) The Sundae School sells sundaes for $2 and
banana splits for $3. On a hot summer day, the
shop sold 8 more sundaes than banana splits and
made $156. How many of each did the store sell?
14) The sum of two numbers is -9253. The
difference of the same two numbers is -10453.
What are the numbers?
15) At a college bookstore, Carla purchased a math
textbook and a novel that cost a total of $54, not
including tax. If the price of the math textbook,
m, is $8 more than 3 times the price of the novel,
n, what is the price of each textbook?
16) The sum of two numbers is -177. The difference
of the same two numbers is 955. What are the
numbers?
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Applications of Systems
Name:
17) Some students want to order shirts with their
school logo. One company charges $9.65 per
shirt plus a setup fee of $43. Another company
charges $8.40 per shirt plus a $58 fee. For what
number of shirts would the cost be the same?
18) The sum of two numbers is -298. The difference
of the same two numbers is -1210. What are the
numbers?
19) Maricella has a bag containing 35 nickels and
quarters. The total value of these coins is $2.75.
How many of each coins are there?
20) Crystal has several dimes and quarters in her
purse, totaling $2.70. There is 1 less dime than
there are quarters. How many of each coin are
there?
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Applications of Systems
Name:
21) At the movie theater, Tom spent $7.75 on 3 soft
drinks and 2 boxes of popcorn. Carly bought 5
soft drinks and 1 box of popcorn for total $8.25.
Find the cost of a soft drink and the cost of a box
of popcorn.
22) Suzy has a piggy bank consisting of nickels and
dimes. If there are 30 coins worth $1.90, how
many nickels and dimes are in the bank?
23) John and Ariana bought school supplies. John
spent $10.65 on 4 notebooks and 5 pens. Ariana
spent $7.50 on 3 notebooks and 3 pens. What is
the cost of 1 notebook and what is the cost of 1
pen?
24) Marcos had 15 coins in nickels and quarters. He
had 3 more quarters than nickels. How many of
each coin does Marcos have?
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Applications of Systems
Name:
25) A group of four golfers pays $150 to play a
round of golf. Of these four, one is a member of
the club and three are nonmembers. Another
group of golfers consists of two members and
one nonmember and pays a total of $75.What is
the cost for a member to play a round of golf,
and what is the cost for a nonmember?
26) At a restaurant the cost for a breakfast taco and a
small glass of milk is $2.10. The cost for 2 tacos
and 3 small glasses of milk is $5.15. What is the
cost of a breakfast taco and a glass of milk?
27) Chase and Sara went to the candy store. Chase
bought 5 pieces of fudge and 3 pieces of bubble
gum for a total of $5.70. Sara bought 2 pieces of
fudge and 10 pieces of bubble gum for a total of
$3.60. What is the cost of fudge and bubble
gum?
28) Mrs. Travis wants to have a clown deliver
balloons to her secretary’s office. Clowns R Fun
charges $1.25 per balloon and $6 delivery.
Singing Balloons charges $1.95 per balloon and
$2 for delivery. What is the minimum number of
balloons Mrs. Travis needs to purchase in order
for Clowns R Fun to have a lower price than
Singing Balloons?
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