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Group 5
Group members:
Dimaunahan, Yokimura
Hernandez,Ram
Gutierrez, Rafael
Ocampo, Darrell
Problem No. 7
The Reyes family has six daughters. Each daughter
has two brothers. How many children are there in the
Reyes family?
Step 1. Understand the Problem
• The problem is about determining how many
children are there in the Reyes family. In the
problem, it is said that there are six daughters in
the family and each of the has two brothers.
Analyzing the problem well will help us get the
correct answer for the problem
Step 2. Devise a Plan
• Analyzing the problem well is the key to know the
correct answer. To understand the problem more,
here is an illustration of the problem.
Step 3. Carry out the Plan
• After analyzing the illustration of the 6 daughters
and 2 brothers in the Reyes Family, we have
obtained the correct number of children in the
family. There are a total of 8 children in the Reyes
family.
Step 4. Look Back
• With the help of the illustration, we have finally
reached the correct and final answer of our
problem. The Reyes Family has a total of 8 children
consisting of 6 girls and 2 boys.
Problem No.10
Step 1. Understand the Problem
As the problem indicate, We need to identify how
many ducks in the problem. By reading it carefully
and analyzing the statement where you can get how
many ducks is given in the statement.
Step 2. Devise a Plan
To provide us and visualize to answer the
problem. I create a simple diagram how the ducks
are positions and how many they are given by the
problem:
Summary:
N=1+2 = Two ducks in behind
N=2+1 = Two duck in front
N=1+1+1 = one duck in between of two ducks
Step 3. Carry out the plan
N=1+2 = 3
N=2+1 = 3
N=1+1+1 = 3
N=3 (total number of ducks)
Step 4. Look back
As we showed the row of the ducks by the
picture also by computation that are showed. The
total number of ducks are three.
Problem no. 11.
Jun has 21 coins totaling P1.75. He has twice as
many 10 centavos coins then 5 centavos coins.
STEP 1: Understand the problem
In this problem, we’re about to know how
many 10 centavos that Jun have.
STEP 2: Make a plan
Let a as the quantity of 10 centavos and b
as the quantity of 5 centavos.
(a x 10c)+(b x 5c)=P1.75
STEP 3: Cary out the plan
B=7
A= 2b=2(7)=14
A+b= 21
Therefore, Jun has 7 pcs of 5 centavos and
14 pcs of 10 centavos. If we’ll combine it, Jun
has 21 coins.
STEP 4: Look back
Lets substitute the value of a and b to the
equation.
A=14 ; b=7
(a x 10c)+(b x 5c)=P1.75
(14 x 10c)+(7 x 5c)=P1.75
P1.40 + P0.35=P1.75
P1.75 = P1.75

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Art of problem solving activities

  • 1. Group 5 Group members: Dimaunahan, Yokimura Hernandez,Ram Gutierrez, Rafael Ocampo, Darrell
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  • 9. Problem No. 7 The Reyes family has six daughters. Each daughter has two brothers. How many children are there in the Reyes family? Step 1. Understand the Problem • The problem is about determining how many children are there in the Reyes family. In the problem, it is said that there are six daughters in the family and each of the has two brothers. Analyzing the problem well will help us get the correct answer for the problem Step 2. Devise a Plan • Analyzing the problem well is the key to know the correct answer. To understand the problem more, here is an illustration of the problem.
  • 10. Step 3. Carry out the Plan • After analyzing the illustration of the 6 daughters and 2 brothers in the Reyes Family, we have obtained the correct number of children in the family. There are a total of 8 children in the Reyes family. Step 4. Look Back • With the help of the illustration, we have finally reached the correct and final answer of our problem. The Reyes Family has a total of 8 children consisting of 6 girls and 2 boys.
  • 11. Problem No.10 Step 1. Understand the Problem As the problem indicate, We need to identify how many ducks in the problem. By reading it carefully and analyzing the statement where you can get how many ducks is given in the statement. Step 2. Devise a Plan To provide us and visualize to answer the problem. I create a simple diagram how the ducks are positions and how many they are given by the problem: Summary: N=1+2 = Two ducks in behind N=2+1 = Two duck in front N=1+1+1 = one duck in between of two ducks
  • 12. Step 3. Carry out the plan N=1+2 = 3 N=2+1 = 3 N=1+1+1 = 3 N=3 (total number of ducks) Step 4. Look back As we showed the row of the ducks by the picture also by computation that are showed. The total number of ducks are three.
  • 13. Problem no. 11. Jun has 21 coins totaling P1.75. He has twice as many 10 centavos coins then 5 centavos coins. STEP 1: Understand the problem In this problem, we’re about to know how many 10 centavos that Jun have. STEP 2: Make a plan Let a as the quantity of 10 centavos and b as the quantity of 5 centavos. (a x 10c)+(b x 5c)=P1.75 STEP 3: Cary out the plan B=7 A= 2b=2(7)=14 A+b= 21
  • 14. Therefore, Jun has 7 pcs of 5 centavos and 14 pcs of 10 centavos. If we’ll combine it, Jun has 21 coins. STEP 4: Look back Lets substitute the value of a and b to the equation. A=14 ; b=7 (a x 10c)+(b x 5c)=P1.75 (14 x 10c)+(7 x 5c)=P1.75 P1.40 + P0.35=P1.75 P1.75 = P1.75