Benny is 12 years old and his mom is 48 years old. As Benny and his mom get older, Benny thinks that the percent of difference between their ages will decrease as well.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 34E: Applications Set up and solve the required proportion. Caffeine Many convenience stores sell...
icon
Related questions
icon
Concept explainers
Topic Video
Question
100%
Benny is 12 years old and his mom is 48 years old. As Benny and his mom get older, Benny thinks that the percent of difference between their ages will decrease as well.
Lesson 3
7.4
A STORY OF RATIOS
Lesson Summary
Visual models or arithmetic methods can be used to solve problems that compare quantities with
percents.
Equations can be used to solve percent problems using the basic equation
Quantity = Percent × Whole.
Quantity in the new percent formula is the equivalent of part in the original percent formula.
Problem Set
Solve each problem using an equation.
49.5 is what percent of 33? I S0%
b. 72 is what percent of 180? y07.
What percent of 80 is 90? 38. 9 %
This year, Benny is 12 years old, and his mom is 48 years old.
What percent of his mom's age is Benny's age? 237
b. What percent of Benny's age is his mom's age? Y007.
C In two years, what percent of his age will Benny's mom's age be at that time? 3 57. 197
d. In 10 years, what percent will Benny's mom's age be of his age? 763.63%
In how many years will Benny be 50% of his mom's age? 2 years
As Benny and his mom get older, Benny thinks that the percent of difference between their ages will decrease
as well. Do you agree or disagree? Explain your reasoning.
This year, Benny is 12 years old. His brother Lenny's age is 175% of Benny's age. How old is Lenny?
When Benny's sister Penny is 24, Benny's age will be 125% of her age.
How old will Benny be then?
If Benny is 12 years old now, how old is Penny now? Explain your reasoning.
5. Benny's age is currently 200% of his sister Jenny's age. What percent of Benny's age will Jenny's age be in 4 years?
Lesson 3:
S.18
Comparing Quantities with Percent
EUREKA
MATH
©2015 Great Mi
Transcribed Image Text:Lesson 3 7.4 A STORY OF RATIOS Lesson Summary Visual models or arithmetic methods can be used to solve problems that compare quantities with percents. Equations can be used to solve percent problems using the basic equation Quantity = Percent × Whole. Quantity in the new percent formula is the equivalent of part in the original percent formula. Problem Set Solve each problem using an equation. 49.5 is what percent of 33? I S0% b. 72 is what percent of 180? y07. What percent of 80 is 90? 38. 9 % This year, Benny is 12 years old, and his mom is 48 years old. What percent of his mom's age is Benny's age? 237 b. What percent of Benny's age is his mom's age? Y007. C In two years, what percent of his age will Benny's mom's age be at that time? 3 57. 197 d. In 10 years, what percent will Benny's mom's age be of his age? 763.63% In how many years will Benny be 50% of his mom's age? 2 years As Benny and his mom get older, Benny thinks that the percent of difference between their ages will decrease as well. Do you agree or disagree? Explain your reasoning. This year, Benny is 12 years old. His brother Lenny's age is 175% of Benny's age. How old is Lenny? When Benny's sister Penny is 24, Benny's age will be 125% of her age. How old will Benny be then? If Benny is 12 years old now, how old is Penny now? Explain your reasoning. 5. Benny's age is currently 200% of his sister Jenny's age. What percent of Benny's age will Jenny's age be in 4 years? Lesson 3: S.18 Comparing Quantities with Percent EUREKA MATH ©2015 Great Mi
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning