Concept explainers
a)
To evaluate: the fraction of the house can Tim paint in one day and the fraction of the house can Tara paint in one day.
a)
Answer to Problem 68PPE
Fraction of house, Tim can paint in one day is
Fraction of house, Tara can paint in one day is
Explanation of Solution
Given:
Tim can paint a house in 6 days. Tara can paint the same house in 3 days.
To find the fraction, Tim can paint in one day,
So, the fraction, Tim can paint in one day is
To find the fraction, Tara can paint in one day,
So, the fraction, Tara can paint in one day is
b)
To evaluate: the fraction of the house can Tim paint in‘d’ days and the fraction of the house can Tara paint in‘d’ days.
b)
Answer to Problem 68PPE
Fraction of house, Tim can paint in ‘d’ days is
Fraction of house, Tara can paint in ‘d’ days is
Explanation of Solution
Given:
Tim can paint a house in 6 days. Tara can paint the same house in 3 days.
To find the fraction, Tim can paint in one day,
So, the fraction, Tim can paint in ‘d’ days is
To find the fraction, Tara can paint in one day,
So, the fraction, Tara can paint in ‘d’ day is
c)
To evaluate: the fraction of the house can Tim and Tara together can paint in 1 day and the fraction of the house can Tim and Tara together can paint in ‘d’ day.
c)
Answer to Problem 68PPE
Fraction of house, Tim can paint in ‘d’ days is
Fraction of house, Tara can paint in ‘d’ days is
Explanation of Solution
Given:
Tim can paint a house in 6 days. Tara can paint the same house in 3 days.
To find the fraction, Tim can paint in one day,
To find the fraction, Tara can paint in one day,
So, the fraction, Tim and Tara can paint in a day is
The fraction, Tim can paint in ‘d’ days is
The fraction, Tara can paint in ‘d’ days is
So, the fraction, Tim and Tara can paint in ‘d’ days is
d)
To evaluate: the solution of the equation to find the number of days it will take Tim and Tara to paint the whole house working together.
d)
Answer to Problem 68PPE
The total number of days, Tim and Tara can paint the whole house is 2 days.
Explanation of Solution
Given:
Tim can paint a house in 6 days. Tara can paint the same house in 3 days.
To find the fraction, Tim can paint in one day,
To find the fraction, Tara can paint in one day,
So, the fraction, Tim and Tara can paint in a day is
The total number of days, Tim and Tara can paint the whole house is 2 days.
Chapter 2 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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