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Worksheets6-4 Systems Real World Application
Total questions: 20
Worksheet time: 5hrs 0mins
Name
Class
Date
1.
Nicole has 15 nickels and dimes. If the value of her coins is $1.20, how many of each coin does she have?
a)
6 dimes, 9 nickles
b)
9 dimes, 6 nickles
c)
10 dimes, 5 nickles
d)
5 dimes, 10 nickles
2.
Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?
a)
x+y=134
x+y=120
x+y=120
b)
3x+3y=134
4x+3y=120
4x+3y=120
c)
4x+3y=134
3x+3y=120
3x+3y=120
d)
7xy=134
6xy=120
6xy=120
3.
Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?
a)
$5
b)
$10
c)
$15
d)
$20
4.
Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.
a)
x + y = 33
y = 2x - 3
y = 2x - 3
b)
x + y = 33
x = 2y - 3
x = 2y - 3
c)
x + y = 33
x = 3 - 2y
x = 3 - 2y
d)
x + y = 3
x = 33 - 2y
x = 33 - 2y
5.
There are 50 donkeys and chickens on a farm. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?
a)
d + c = 174
4d + 2c = 50
4d + 2c = 50
b)
d + c = 50
4d + 2c = 174
4d + 2c = 174
c)
d + c = 50
2d + 4c = 174
2d + 4c = 174
d)
d + c = 174
2d + 4c = 50
2d + 4c = 50
6.
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?
a)
3x + 2y = 315
2x + 4y = 450
2x + 4y = 450
b)
3x + 2y = 450
2x + 4y = 315
2x + 4y = 315
c)
2x + 2y = 315
3x + 4y = 450
3x + 4y = 450
7.
Your family goes to a southern style restaurant for dinner. There are 6 total people in your family. Some order chicken for $14 and the rest order steak for $17. The total bill is $99. Write a system that could represent this situation.
a)
c + s = 6
14c + 17s = 99
14c + 17s = 99
b)
c + s = 99
14c + 17s = 6
14c + 17s = 6
c)
c + s = 6
17c + 14s = 99
17c + 14s = 99
d)
c + s = 99
17c + 14s = 6
17c + 14s = 6
8.
a)
195 copies
b)
301 copies
c)
196 copies
d)
300 copies
9.
a)
500 yearbooks
b)
520 yearbooks
c)
400 yearbooks
d)
1,740 yearbooks
10.
a)
40 mi/h
b)
32 mi/h
c)
8 mi/h
d)
48 mi/h
11.
a)
length = 5 cm
width = 18cm
b)
length = 13 cm
width = 5 cm
c)
length = 13 cm
width = 8 cm
d)
length = 18 cm
width = 5 cm
12.
a)
207 copies
b)
206 copies
c)
420 copies
d)
421 copies
13.
a)
30 nickels and 32 dimes
b)
30 nickels and 28 dimes
c)
29 nickels and 31 dimes
d)
31 nickels and 29 dimes
14.
a)
rose bush = $13
ornamental grass = $5
b)
rose bush = $10
ornamental grass = $11
c)
rose bush = $9
ornamental grass = $12
d)
rose bush = $12
ornamental grass = $9
15.
a)
Approximately 38 customers;
$375 profit with 60 customers.
$375 profit with 60 customers.
b)
Approximately 38 customers;
$7135 profit with 60 customers.
$7135 profit with 60 customers.
c)
Approximately 45 customers;
$375 profit with 60 customers.
$375 profit with 60 customers.
d)
Approximately 45 customers;
$7135 profit with 60 customers.
$7135 profit with 60 customers.
16.
a)
Maximum = $200;
Minimum = $40
Minimum = $40
b)
Maximum = $105;
Minimum = $85
Minimum = $85
c)
Maximum = $125;
Minimum = $70
Minimum = $70
d)
Maximum = $110;
Minimum = $80
Minimum = $80
17.
Caitlin won a bag full of money! She has 49 bills in all. She counts $1,430. There are $20 dollar bills and $50 dollar bills. How many of each bill does Caitlin have?
WRITE a system where T= # of $20 and F = # of $50.
WRITE a system where T= # of $20 and F = # of $50.
a)
T + F = 1430
20T + 50F = 49
20T + 50F = 49
b)
T+ F = 49
10T + 5F = 1430
10T + 5F = 1430
c)
T + F = 49
20T + 50F = 1430
20T + 50F = 1430
d)
T + F = 49
T + F = 1430
T + F = 1430
18.
An exam worth 145 points contains 50 questions. Some questions are worth two points and some are worth five points. How many five point questions are on the test?
a)
20
b)
35
c)
15
d)
25
19.
On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?
a)
10c + 5d = 14.25
5c + 10d = 16.50
5c + 10d = 16.50
b)
10c + 5d = 16.50
5c + 10d = 14.25
5c + 10d = 14.25
c)
c + d = 10
5c + 10d = 16.50
5c + 10d = 16.50
d)
c + d = 5
5c + 10d = 16.50
5c + 10d = 16.50
20.
Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. Which system of equations could be used to find the exact number of dimes and nickels?
a)
d + n = 6.60
.10d + .05n = 80
.10d + .05n = 80
b)
d + n = 80
d + n = 6.60
d + n = 6.60
c)
d + n = 80
.10d + .05n = 6.60
.10d + .05n = 6.60
d)
d + n = 80
.05d + .10n = 6.60
.05d + .10n = 6.60
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