A. The Number Game The sum of two numbers is 90. The larger number is 14 more than 3 times the smaller number. Find the numbers. Questions: 1. What equations can be formed to determine the two numbers? 2. What method of solving systems of linear equation in two variables can best be applied to solve this problem? 3. What are the two numbers?

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,...
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Step 3. Carry out the plan (solve).
Solution:
Step 4. Look back
Check:
(Check and interpret)
Activity 5: Problems Solved!
Directions: Read each problem carefully and solve as required. Then answer the questions
that follow. Use a separate sheet of paper.
A. The Number Game
The sum of two numbers is 90. The larger number is 14 more than 3 times the
smaller number. Find the numbers.
Questions:
1. What equations can be formed to determine the two numbers?
2. What method of solving systems of linear equation in two variables can best
be applied to solve this problem?
3. What are the two numbers?
B. Chocolate Desires
White chocolate costs Php 20.00 per bar, and dark chocolate costs Php 25.00 per bar.
If Janine bought 15 bars of chocolate for Php 340, how many bars of dark chocolate did she
buy?
Questions:
1. What two equations can be formed to represent the number of chocolate bars?
2. What method of solving systems of linear equations in two variables can best be
applied to solve this problem? Why do you think the method you chose is appropriate
to solve this type of problem?
3. How many bars of dark chocolate did Janine buy?
C. Bonding, Bonding...
It's vacation time of the year and Luigi's family agreed to go to a famous beach resort
in their province. Upon entering the resort, they were asked to pay tickets which cost
Php200.00 for children (5 to 12 years old) and Php450.00 for adults. If the resort were able to
sell 250 pieces of beach ticket amounting to Php76,000.00, how many children and adults
were in the beach?
Questions:
1. What are the two equations that can be used to find the number of children
and adults in the beach?
2. How many children and adults were in the beach?
21
Transcribed Image Text:Step 3. Carry out the plan (solve). Solution: Step 4. Look back Check: (Check and interpret) Activity 5: Problems Solved! Directions: Read each problem carefully and solve as required. Then answer the questions that follow. Use a separate sheet of paper. A. The Number Game The sum of two numbers is 90. The larger number is 14 more than 3 times the smaller number. Find the numbers. Questions: 1. What equations can be formed to determine the two numbers? 2. What method of solving systems of linear equation in two variables can best be applied to solve this problem? 3. What are the two numbers? B. Chocolate Desires White chocolate costs Php 20.00 per bar, and dark chocolate costs Php 25.00 per bar. If Janine bought 15 bars of chocolate for Php 340, how many bars of dark chocolate did she buy? Questions: 1. What two equations can be formed to represent the number of chocolate bars? 2. What method of solving systems of linear equations in two variables can best be applied to solve this problem? Why do you think the method you chose is appropriate to solve this type of problem? 3. How many bars of dark chocolate did Janine buy? C. Bonding, Bonding... It's vacation time of the year and Luigi's family agreed to go to a famous beach resort in their province. Upon entering the resort, they were asked to pay tickets which cost Php200.00 for children (5 to 12 years old) and Php450.00 for adults. If the resort were able to sell 250 pieces of beach ticket amounting to Php76,000.00, how many children and adults were in the beach? Questions: 1. What are the two equations that can be used to find the number of children and adults in the beach? 2. How many children and adults were in the beach? 21
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