
Concept explainers
a.
The percentage of Spaniel dogs that competed.
The percentage of Sheepdog dogs that competed.
a.

Answer to Problem 25E
The percentage of Spaniel dogs that competed = 20%
The percentage of Sheepdog dogs that competed = 62.5%
Explanation of Solution
Given:
In a dog agility competition, dogs are tested in their ability to get pass obstacles.
The table given in the question:
Calculation:
As per the problem
Consider the table,
Number of Sheepdogs that competed= 75
Number of Spaniel dogs that competed= 24
Number of terrierdogs that competed= 14
Number of other breeddogs that competed= 7
Total number of dogs that competed = 75+24+14+7=120
Percent of Spaniel dogs that competed= number of Spaniel dogstotal number of dogs×100 =24120×100=20%. [Put the values and simplify]
Percent of Sheepdogs that competed = number of Sheepdog dogstotal number of dogs×100 =75120×100=62.5%. [Put the values and simplify]
Hence,
The percentage of Spaniel dogs that competed = 20%
The percentage of Sheepdogs that competed = 62.5%
Conclusion:
The percentage of Spaniel dogs that competed = 20%
The percentage of Sheepdogs that competed = 62.5%
b.
The percent of the sheepdogs that finished in the top half.
b.

Answer to Problem 25E
56% of sheepdogs finished in the top 60.
Explanation of Solution
Given:
Number of Sheepdogs that competed= 75
Total number of dogs that competed = 120
70% of the dogs that finished in the top half are sheepdogs.
Calculation:
As per the given problem
Number of Sheepdogs that competed= 75
Total number of dogs that competed = 120
Among the top 60 , 70% are sheepdogs , that is , 70% of 60 are sheepdogs .
Therefore,
70% of 60=70100⋅60=42 [Write the percentage in fraction form and simplify]
Therefore,
42 sheepdogs finished in the top 60.
Percent of sheepdogs that finished in the top half = number of Sheepdogs in the top halftotal number of sheepdogs×100 =4275×100=56%. [Put the values and simplify]
Conclusion:
56% of sheepdogs finished in the top 60.
Chapter 7 Solutions
Pre-Algebra
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