Holt Algebra 1 Homework and Practice Workbook 1st Edition Chapter 2
Page 14 Problem 1 Answer
Given: The ratio of freshman to sophomores in a drama club is 5: 6. There are 18 sophomores in the drama club.
To Find: How many freshmen are there?
Method Used: Simplification using addition, subtraction, division or multiplication of integers.
The ratio of freshman to sophomores in a drama club is Freshman/Sophomores=5/6.
There are 18 sophomores in the drama club.
Freshman/Sophomores=5/6 Freshman
18=5/6
⇒Freshman=5/6×18
⇒Freshman=15
Number of freshman=15
Page 14 Problem 2 Answer
Given: Four pounds of apples cost1.96
To Find: unit rate
Method Used: Simplification using addition, subtraction, division or multiplication of integers.
As we have four pounds of apples cost 196
Cost of 4 apples=1.96
Cost of 1 apples=1.96/4
Cost of 1 apple=0.49
Therefore, cost of 1 apple=0.49 dollars
Page 14 Problem 3 Answer
Given: Sal washed 5 cars in 50 minutes
To Find: unit rate
Method Used: Simplification using addition, subtraction, division or multiplication of integers.
According to the question we have
Minutes for washing 5 cars=50
Minutes for washing 1 car=50/5
Minutes for washing 1 car=10
Therefore, unit is 10 minutes per car
Page 14 Problem 4 Answer
Given: A giraffe can run 32 miles per hour.
To Find: What is this speed in feet per second?
Method Used: Simplification using addition, subtraction, division or multiplication of integers.
According to question a giraffe can run 32 miles per hour.
Using 1 mile =5280 feet and 1 hour =60×60 second
we get Then a giraffe can run
32×miles hour
=32×5280
60×60×feet second
=47 feet per seond
32×miles per hour =47 feet per seond
Page 14 Problem 5 Answer
Given: proportion is y/4=10/8
To Find: value of variable
Method Used: Simplification using addition, subtraction, division or multiplication of integers.
Cross multiplying the given proportion
Y/4=10/8
⇒8y=10×4
⇒y=10×4/8
⇒y=5
Required value is y=5
Page 14 Problem 6 Answer
Given: proportion is 2/x=30−6
To Find: value of variable
Method Used: Simplification using addition, subtraction, division or multiplication of integers.
Cross multiplying the given proportion
2/x=30−6
⇒−12=30×x
⇒x=−12/30
⇒x=−2/5
⇒x=−1/2.5
⇒x=−0.4
Required value is x=−0.4
Page 14 Problem 7 Answer
Given: proportion is 3/12=−24/m
To Find: value of variable
Method Used: Simplification using addition, subtraction, division or multiplication of integers.
Cross multiplying the given proportion
3/12=−24m
⇒1/4 =−24m
⇒m=−24×4
⇒m=−96
Required value ism=−96
Page 14 Problem 8 Answer
Given: proportion is 3t
10=1/2
To Find: value of variable
Method Used: Simplification using addition, subtraction, division or multiplication of integers.
Cross multiplying the given proportion
3t/10=1/2
⇒3t×2=10
⇒t=10/6
⇒t=1.67
Required value is t=1.67
Page 14 Problem 9 Answer
Given: proportion is 7x=1/0.5
To Find: value of variable
Method Used: Simplification using addition, subtraction, division or multiplication of integers.
Cross multiplying the given proportion
7/x=1/0.5
⇒7×0.5=x
⇒x=3.5
Required value is x=3.5
Page 14 Problem 10 Answer
Given: The scale of his model to the actual car is 1:10
and his model is 181/2 inches long
To Find: How long is the actual car?
Method Used: use of formula of scale
Here, 1 inch model/10 inches actual=18.5 inch model/x inches actual
x=18.5×10/1
=185 inches
Actual length is=185 inches
Page 14 Problem 11 Answer
Given: The scale on a map of Virginia shows that 1 centimeter represents 30 miles.
The actual distance from Richmond, VA to Washington, DC is 110 miles.
To Find: how many centimeters are between the two cities?
Method Used: use of formula of scale.
Scale is given as dimension on map actual dimension
Here, 1 centimeters represents 30 miles then
30 miles =1 cm
1 mile =1/30cm
110 miles =1/30×110
110 miles =3.67 cm
Required distance in map is110 miles =3.67 cm