Practice Quiz 6_ Attempt review
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School
Thompson Rivers University *
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Course
1901
Subject
Mathematics
Date
Apr 3, 2024
Type
Pages
5
Uploaded by CaptainArt11246
Started on
Saturday, 8 July 2023, 11:28 AM
State
Finished
Completed on
Saturday, 8 July 2023, 12:40 PM
Time taken
1 hour 12 mins
Question 1
Correct
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Question 2
Correct
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Convert 456% to a decimal. (Write a number with two decimal places as your answer. Do not write any words or include
calculations.)
Answer:
4.56
4.56 × 100% = 456%
What is 37% of 40? (Remember you won’t be able to use a calculator in the final exam, so try to calculate this by hand. Write a
number with one decimal place as your answer. Do not write any words or include calculations.)
Answer:
14.8
40 × 37/100 = 4 × 37/10 = 148/10 = 14.8.
Question 3
Correct
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Question 4
Correct
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Question 5
Correct
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What percent of 65 is 26? (Calculate this by hand. Write a whole number as your answer. Do not include “%” or write any words or
include calculations.)
Answer:
40
(26 ÷ 65) × 100% = (2600 ÷ 65)% = 40%.
14 is 7% of what number? (Calculate this by hand. Write a whole number as your answer. Do not write any words or include
calculations.)
Answer:
200
14 ÷ (7/100) = 14 ÷ 0.07 = 1400 ÷ 7 = 200.
You want to make a cake, but the recipe calls for three eggs and you only have two. You decide to use proportions to change the
amounts of the other ingredients. If the recipe originally called for 2 cups of flour, how much should you use now? Write your answer
as a mixed number. Whole number:
1
, fractional part numerator:
1
, fractional part denominator:
3
. (Calculate this by hand. Do not write any words or include calculations.)
(2/3) × 2 = 4/3 = 1 1/3 (one and one third)
Question 6
Correct
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Question 7
Partially correct
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At a zoo, the ratio of king penguins to emperor penguins is 2:3. In all, there are 45 king and emperor penguins combined. How many
emperor penguins are at the zoo? (Calculate this by hand. Write a whole number as your answer. Do not write any words or include
calculations.)
Answer:
27
There are 45 total penguins and five parts, so each part must have 45 ÷ 5 = 9 penguins. Since two parts have king penguins and
three parts have emperor penguins, we have 3 × 9 = 27 emperor penguins.
An orange-lemon juice mixture can be made by mixing orange juice and lemonade in a ratio of 5 to 2. Match each problem to the
equation that solves it.
How much juice mixture will a juice mixture with 75 cups of orange juice make?
How much orange juice should you use to make 105 cups of the juice mixture?
How much orange juice should you use to make the juice mixture with 30 cups of lemonade?
How much lemonade should you use to make the juice mixture with 75 cups of orange juice?
(75/5) × 2
(105/7) × 5
(30/2) × 5
75 + (75/5) × 2
Your answer is partially correct.
You have correctly selected 2.
The correct answer is: How much juice mixture will a juice mixture with 75 cups of orange juice make? → 75 + (75/5) × 2, How much
orange juice should you use to make 105 cups of the juice mixture? → (105/7) × 5, How much orange juice should you use to make
the juice mixture with 30 cups of lemonade? → (30/2) × 5, How much lemonade should you use to make the juice mixture with 75
cups of orange juice? → (75/5) × 2
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Question 8
Incorrect
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Question 9
Correct
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A type of dark chocolate is made by mixing cocoa and cocoa butter in the ratio 7 to 3. Let C be an unspecified number of grams of
coca, which can vary, and let B be the corresponding number of grams of cocoa butter needed to make that type of dark chocolate.
Which of the following equations express the relationship between C and B?
Select one or more:
a.
7C = 3B
b.
C = 7 × (B/3)
c.
B = (3/7) × C
d.
C/7 = B/3
e.
None of these equations express the relationship between C and B.
Your answer is incorrect.
The correct answers are in bold
font:
a. 7C = 3B
b. C = 7 × (B/3)
c. B = (3/7) × C
d. C/7 = B/3
e. None of these equations express the relationship between C and B.
The correct answers are: C = 7 × (B/3), B = (3/7) × C, C/7 = B/3
There are two boxes of chocolate. The chocolate in the second box weighs 15% more than the chocolate in the first box. There are
30g more chocolate in the second box than in the first. How much does the chocolate in the two boxes weigh altogether in grams?
(Calculate this by hand. Write a whole number as your answer. Do not include “g” or write any words or include calculations.)
Answer:
430
If 15% is 30g then 15/3 = 5% must be 30/3 = 10g and 5×20 = 100% must be 10×20 = 200g. Therefore, the chocolate in the first box
weighs 200g and the chocolate in the second box weighs 200g + 30g = 230g, and the chocolate in the two boxes together weighs
200g + 230g = 430g.
Question 10
Incorrect
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There are two vats of grape juice. After 20% of the juice in the first vat was poured into the second vat, the first vat had twice as much
juice as the second vat. By what percent did the amount of juice in the second vat increase when the juice was poured into it?
(Calculate this by hand. Write a whole number as your answer. Do not include “%” or write any words or include calculations.)
Answer:
50
Imagine the contents of the first vat represented by a long strip broken into 5 equal parts, each of 20%. Since 20% of this juice (1
part) is poured into the second vat, 4 parts remain. Since these 4 parts must be twice the contents of the second vat after pouring, the
second vat must now contain 2 parts of juice. One of these parts was poured from the first vat, so the other part must have been there
to start with. Therefore, the amount of juice in the second vat increased by 100% when the juice was poured into it. See Section 7.6
Practice Exercise 8 Solution.