MAT 1100 Quantitative Reasoning Assignment 2
Added on 2022-12-20
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MAT 1100 Quantitative Reasoning Module 1 Lesson 1
Assignment 2
Student Name:
1) In a school survey, students showed these preferences for instructional materials. Answer the question.
About how many students would you expect to prefer films in a school of 900 students?
Solution: Given that the total number of students in school = 900. From given pie chart, the percentage of
students who prefer films in school = 20%
Hence, the total number of students who prefer films in school = 20 % of 900
2) The circle graph below shows the approximate percent of immigrants admitted into the U.S. during the
1990s, Use the graph to answer the following questions.
a) What percent of immigrants were not from Asia?
b) In a group of 2,000,000 immigrants, how many would
you expect to be from Europe?
c) In a group of 4,000,000 immigrants, how many more
would there be from Latin America than all the other
regions combined?
Solution a:
% of Other = 100 – (% of Latin America + % of Europe + % of Asia) = 100 – (52 + 13 + 30) = 5
So the % of immigrants were not from Asia = (5 + 52 + 13) = 70%
Assignment 2
Student Name:
1) In a school survey, students showed these preferences for instructional materials. Answer the question.
About how many students would you expect to prefer films in a school of 900 students?
Solution: Given that the total number of students in school = 900. From given pie chart, the percentage of
students who prefer films in school = 20%
Hence, the total number of students who prefer films in school = 20 % of 900
2) The circle graph below shows the approximate percent of immigrants admitted into the U.S. during the
1990s, Use the graph to answer the following questions.
a) What percent of immigrants were not from Asia?
b) In a group of 2,000,000 immigrants, how many would
you expect to be from Europe?
c) In a group of 4,000,000 immigrants, how many more
would there be from Latin America than all the other
regions combined?
Solution a:
% of Other = 100 – (% of Latin America + % of Europe + % of Asia) = 100 – (52 + 13 + 30) = 5
So the % of immigrants were not from Asia = (5 + 52 + 13) = 70%
MAT 1100 Quantitative Reasoning Module 1 Lesson 1
Assignment 2
Solution b: Given that the total immigrants = 2,000,000 and the % of immigrants from Europe = 13%
So, the number of immigrants from Europe = 13% of 2,000,000
Solution c: Given that the total immigrants = 4,000,000 and the % of immigrants from Latin America = 52%
So, the number of immigrants from Latin America = 52% of 4,000,000
And the combined number of immigrants from Asia, Europe and Other except Latin America = 5 + 13 + 30 =
48%
So, the number of immigrants from Asia, Europe and Other except Latin America
= 48% of 4,000,000
Hence, there are immigrants from America that is more than all the other
regions combined.
3) Use the circle graph below to determine how much of the amount spent for a $3.50 gallon of gasoline in
California goes to refinery margin and to crude oil cost.
Solution: The amount spent for a $3.50 gallon of gasoline in California goes to refinery margin and to crude oil
cost = (crude oil cost + Refinery margin) % of 3.50 = (24 + 32) % of 3.50 =
The graph below shows the number of students enrolled in various courses at State University in spring 2000.
Each bar represents a different course, and the height of the bar represents the number of students enrolled. Use
the graph to answer the question.
Assignment 2
Solution b: Given that the total immigrants = 2,000,000 and the % of immigrants from Europe = 13%
So, the number of immigrants from Europe = 13% of 2,000,000
Solution c: Given that the total immigrants = 4,000,000 and the % of immigrants from Latin America = 52%
So, the number of immigrants from Latin America = 52% of 4,000,000
And the combined number of immigrants from Asia, Europe and Other except Latin America = 5 + 13 + 30 =
48%
So, the number of immigrants from Asia, Europe and Other except Latin America
= 48% of 4,000,000
Hence, there are immigrants from America that is more than all the other
regions combined.
3) Use the circle graph below to determine how much of the amount spent for a $3.50 gallon of gasoline in
California goes to refinery margin and to crude oil cost.
Solution: The amount spent for a $3.50 gallon of gasoline in California goes to refinery margin and to crude oil
cost = (crude oil cost + Refinery margin) % of 3.50 = (24 + 32) % of 3.50 =
The graph below shows the number of students enrolled in various courses at State University in spring 2000.
Each bar represents a different course, and the height of the bar represents the number of students enrolled. Use
the graph to answer the question.
MAT 1100 Quantitative Reasoning Module 1 Lesson 1
Assignment 2
4) For which courses was enrollment less than 75?
Solution: From the above bar graph, it is observe that
Number of enrolment for Art course = 39
Number of enrolment for English course = 96
Number of enrolment for Algebra course = 70
Number of enrolment for History course = 82
Number of enrolment for philosophy course = 23
Hence, the number of enrolment for courses Art, Algebra and Philosophy are less than 75.
5) The graph below shows the students’ favorite after school activities.
a) Which after-school activity do students like least?
b) Which two activities are liked almost equally?
Assignment 2
4) For which courses was enrollment less than 75?
Solution: From the above bar graph, it is observe that
Number of enrolment for Art course = 39
Number of enrolment for English course = 96
Number of enrolment for Algebra course = 70
Number of enrolment for History course = 82
Number of enrolment for philosophy course = 23
Hence, the number of enrolment for courses Art, Algebra and Philosophy are less than 75.
5) The graph below shows the students’ favorite after school activities.
a) Which after-school activity do students like least?
b) Which two activities are liked almost equally?
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