Example 3. In an inter-barangay basketball league, the team from Barangay Culiat has won 12 out of 25 games, a winning percentage of 48%. How many games should they win in a row to improve their win percentage to 60% Solution. Let X represent the number of games that they need to win to raise their percentage to 60%. The team has already won 12 out of their 25 games. If they win x games in a row to increase their percentage to 60%, then they would have played 12 + x games out of their 25 + x games. 12 + x = 0.6 Multiply 25 +x to both sides of the equation and solve the The equation is 25 + x resulting equation. 12 + x = 0.6 25 + x 12 + x = (25 +x)(0.6) 12 + x = 0.6(25) +0.6(x) x - 0.6x == 15 – 12 0.4x = 3 x = 7.5 Therefore, Barangay Culiat needs to win 8 games in a row to raise their winning percentage to 60%. In an inter-barangay basketball league, the team from Barangay Culiat has won 12 out of 25 games, a winning percentage of 48%. We have seen that they need to win 8 games consecutively to raise their percentage to at least 60%. What will be their winning percentage if they win: (a) 10 games in a row?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question
answer letter a po
Example 3. In an inter-barangay basketball league, the team from Barangay Culiat has won 12 out
of 25 games, a winning percentage of 48%. How many games should they win in a row to improve
their win percentage to 60%
Solution. Let X represent the number of games that they need to win to raise their percentage to
60%. The team has already won 12 out of their 25 games. If they win I games in a row to increase
their percentage to 60%, then they would have played 12+x games out of their 25 +x games.
12 + x
= 0.6
Multiply 25 +x to both sides of the equation and solve the
The equation is 25 + x
resulting equation.
12 + x
= 0.6
25 + x
12 + x = (25+a)(0.6)
12 + x = 0.6(25) + 0.6(x)
x - 0.6x = 15 – 12
0.4x = 3
x = 7.5
Therefore, Barangay Culiat needs to win 8 games in a row to raise their winning percentage to
60%.
In an inter-barangay basketball league, the team from Barangay Culiat has won 12 out of 25
games, a winning percentage of 48%. We have seen that they need to win 8 games
consecutively to raise their percentage to at least 60%. What will be their winning percentage if
they win:
(a) 10 games in a row?
Transcribed Image Text:Example 3. In an inter-barangay basketball league, the team from Barangay Culiat has won 12 out of 25 games, a winning percentage of 48%. How many games should they win in a row to improve their win percentage to 60% Solution. Let X represent the number of games that they need to win to raise their percentage to 60%. The team has already won 12 out of their 25 games. If they win I games in a row to increase their percentage to 60%, then they would have played 12+x games out of their 25 +x games. 12 + x = 0.6 Multiply 25 +x to both sides of the equation and solve the The equation is 25 + x resulting equation. 12 + x = 0.6 25 + x 12 + x = (25+a)(0.6) 12 + x = 0.6(25) + 0.6(x) x - 0.6x = 15 – 12 0.4x = 3 x = 7.5 Therefore, Barangay Culiat needs to win 8 games in a row to raise their winning percentage to 60%. In an inter-barangay basketball league, the team from Barangay Culiat has won 12 out of 25 games, a winning percentage of 48%. We have seen that they need to win 8 games consecutively to raise their percentage to at least 60%. What will be their winning percentage if they win: (a) 10 games in a row?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education