Download Problem Solving 5-1

Name
LESSON
Date
Class
Problem Solving
5-1 Ratios
Write the correct answer.
1. The Rockport Diner has 8 seats at
the counter and 32 seats at tables.
Of these seats, 16 are taken. Write
the ratio of seats taken to empty
seats in simplest form three ways.
2. During the 2001 WNBA season, the
Los Angeles Sparks had 28 wins and
only 4 losses. Write the ratio of wins
to games played in simplest form
three ways.
3. For every 300 people surveyed in
2002, 186 said their favorite Winter
Olympic sport was figure skating.
Write this ratio in simplest form
three ways.
4. In 2004, George W. Bush received
286 electoral votes, and John Kerry
received 251, and 1 elector voted for
John Edwards. Write the ratio of Bush’s
electoral votes to total electoral votes
in simplest form three ways.
Choose the letter for the best answer.
6. Matt has 6 video racing games and
8 video sports games. Which ratio is
the ratio of racing games to total
video games in simplest form?
5. There are 62 girls in the seventh grade
and 58 boys in the eighth grade. Each
grade has 120 students. Which
statement correctly compares the
ratios of boys to girls in each grade?
A The eighth-grade ratio is greater.
B The seventh-grade ratio is greater.
C The eighth-grade ratio is lesser.
D Both ratios are equal.
7. Which player has the greatest ratio of
baskets to total shots?
A Marisol
B Nina
C Joanne
D Talia
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
10
3
F 4
4
H 3
3
G 7
4
J 7
Baskets
Missed
Shots
Marisol
8
8
Nina
7
5
Joanne
2
4
Talia
5
3
Holt Mathematics
Problem Solving
5-1 Ratios
Challenge
5-1 The Golden Ratio
LESSON
LESSON
The Golden Ratio, which as also known as the Golden
Section, was given its name because architects and artists
throughout history have used it to produce shapes that are
pleasing to look at. They have used this ratio as the ratio
of length to width in various shapes.
Write the correct answer.
1. The Rockport Diner has 8 seats at
the counter and 32 seats at tables.
Of these seats, 16 are taken. Write
the ratio of seats taken to empty
seats in simplest form three ways.
The Golden Ratio can be represented by a line segment that meets
these conditions:
• The line segment is divided into two sections of different lengths.
• The ratio of the longer section to the shorter section is equal to the
ratio of the whole segment to the longer section
A
B
7 to 8; 7:8; 8
4. In 2004, George W. Bush received
286 electoral votes, and John Kerry
received 251, and 1 elector voted for
John Edwards. Write the ratio of Bush’s
electoral votes to total electoral votes
in simplest form three ways.
3. For every 300 people surveyed in
2002, 186 said their favorite Winter
Olympic sport was figure skating.
Write this ratio in simplest form
three ways.
C
143
269
50
143 to 269; 143:269; 50 to 31; 50:31; 3
1
Choose the letter for the best answer.
A
B
AB
70
BC
45
1.56
AC
115
AB
70
1.5
100
AC
AB
60
1.6
130
AC
AB
80
C
A
AB
BC
B
60
40
C
1.67
A
B
80
AB
BC
50
6. Matt has 6 video racing games and
8 video sports games. Which ratio is
the ratio of racing games to total
video games in simplest form?
5. There are 62 girls in the seventh grade
and 58 boys in the eighth grade. Each
grade has 120 students. Which
statement correctly compares the
ratios of boys to girls in each grade?
A The eighth-grade ratio is greater.
B The seventh-grade ratio is greater.
C The eighth-grade ratio is lesser.
D Both ratios are equal.
1.64
2.
3.
7
2
3
2 to 3; 2:3; longer?(AB)
whole?(AC)
shorter?(BC) longer?(AB)
Find each measurement to the nearest millimeter. Use your
measurements to write the given ratio. Then write the ratio as a
decimal rounded to the nearest hundredth.
1.
2. During the 2001 WNBA season, the
Los Angeles Sparks had 28 wins and
only 4 losses. Write the ratio of wins
to games played in simplest form
three ways.
C
7. Which player has the greatest ratio of
baskets to total shots?
A Marisol
B Nina
C Joanne
D Talia
1.63
4. In which exercise is the line segment divided so that it is closest
to representing the golden ratio? Explain.
Exercise 3; the ratio of the longer section to the shorter section is closest to
equaling the ratio of the whole segment to the longer section in this exercise.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
9
Holt Mathematics
3
F 4
4
H 3
3
G 7
4
J 7
Baskets
Missed
Shots
Marisol
8
8
Nina
7
5
Joanne
2
4
Talia
5
3
10
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Mathematics
Puzzles, Twisters & Teasers
5-1 Find Your Ratio
Reading Strategies
5-1 Build Vocabulary
LESSON
LESSON
Use the letters in the word RATIO to write a fraction
for each ratio in simplest form.
A ratio is a way to compare two numbers.
Fraction Box
1
A 7
RATIO
1
or 1
1. number of Ts:number of Rs 1
2
3
2. consonants:vowels
3
5
3. vowels:total number of letters
The ratio of black counters to white counters is three to two.
There are three ways to write ratios:
3 to 2
read “3 to 2”
3:2
read “3 to 2”
3
2
read “3 to 2”
G1
1
H
11
2
I
11
2
1. Use a fraction to write this ratio.
L 7
Next, use the letters in the word MATHEMATICS to
write the fraction for each ratio in simplest form.
2
3
2. Write the ratio two other ways.
6. vowels:consonants
3. Write a ratio as a fraction to compare the number of boys to the number of girls.
5
4
6
R 7
4
7
4
9. number of Ms and Ts:total number of letters
4. Write this ratio two other ways.
S 7
4
T
11
7
Y
11
4
11
Find the letters that match your answers in the
Fraction Box. To solve the riddle, write the letters
on the blanks that correspond to the problem numbers.
5 to 4; 5:4
5. Use division to compare the number of girls to the total number of players on the
team.
What do you need to spot an iceberg 20
miles away?
4
9
6. Write this ratio two other ways.
4 to 9; 4:9
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
2
O 3
2
7. number of Ms:total number of letters 11
1
8. number of Hs:total number of letters 11
A team has 5 boys and 4 girls. Use this information to complete
Exercises 3 – 6.
11
5
M 7
7
11
5. consonants:total number of letters
2 to 3; 2:3
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
2
E 5
2
5
4. consonants:total number of letters
Now compare the white counters to the black counters.
3
D 5
Holt Mathematics
G
O
O
1
2
2
D
3
E
Y
E
S
I
G
H
T
4
5
4
6
7
1
8
9
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
88
12
Holt Mathematics
Holt Mathematics