2. Find the hidden message. What's hello in the Hawaiian language?
Give the missing element to form a proportion. Write in the blanks
the letters that correspond to the answer.
______ ______ ______ ______ ______
1 2 3 4 5
Code: A=12 E=8 H=35 L=9 M=5 O=6
1) 3 = __
8 32
2) 5 = 35
? 63
3) 40 = ?
60 9
4) 2 = 10
7 ?
5) ? = 18
20 30
3. What is a direct proportion?
How would you set up the proportion?
4. Identify the missing information in the following
problems.
1) Joel bought a sandwich in the canteen. Chris
also bought 3 sandwiches. How much did Chris
pay?
2) One hundred sixty-five boys and two hundred
eighty-four girls attended the parade.
Explain your answers.
5. Joy and Dale are twins. They always share
their things equally. Even their mother gives
them the same amount of anything, whether
money, toys, candies, and others. But one day,
their father gave them 5 chocolates, 2 chocolate
for Joy and 3 chocolate for Dale.
a) What do you think each of the girls felt?
b) Why did their mother give them things equally?
c) if you were one of the girls, what will you do?
d) Is it alright to have the same amount of things as your
other siblings? Why?
6. Joy and Dale found out that there are things that
can not be shared equally. So one day, their mother
gave them ₱150 so that the ratio is 2:3, 2 parts for
Dale and 3 parts for Joy. How much did each girl
receive?
1) What is asked in the problem?
2) What are the given facts?
3) How can we find the answer?
7. Dale Joy Sum of Money
2 x ₱ 1 = ₱ 2 3 x ₱ 1 = ₱ 3 ₱5
2 x ₱ 2 = ₱ 4 3 x ₱ 2 = ₱ 6 ₱10
2 x ₱ 3 = ₱ 6 3 x ₱ 3 = ₱ 9 ₱15
2 x ____ = ____ 3 x ____ = ____ ₱150
What amount will you multiply to the 2 parts of
Dale and 3 parts of Joy so that the sum will be
₱150?
2 x ____ = ____ 3 x ____ = ____
8. Dale Joy Sum of Money
2 x ₱ 1 = ₱ 2 3 x ₱ 1 = ₱ 3 ₱5
2 x ₱ 2 = ₱ 4 3 x ₱ 2 = ₱ 6 ₱10
2 x ₱ 3 = ₱ 6 3 x ₱ 3 = ₱ 9 ₱15
2 x ____ = ____ 3 x ____ = ____ ₱150
What number did you get?
Dale ---- 2 x ₱ 30 = ₱ 60 Joy ----- 3 x ₱ 30 = ₱
90
9. Dale Joy Sum of Money
2 x ₱ 1 = ₱ 2 3 x ₱ 1 = ₱ 3 ₱5
2 x ₱ 2 = ₱ 4 3 x ₱ 2 = ₱ 6 ₱10
2 x ₱ 3 = ₱ 6 3 x ₱ 3 = ₱ 9 ₱15
2 x ____ = ____ 3 x ____ = ____ ₱150
As an equation, we write it as:
2n + 3n = ₱150
5n = ₱150
n = ₱150 ÷ 5
n = 30
10. As an equation, we write it as:
2n + 3n = ₱150
5n = ₱150
n = ₱150 ÷ 5
n = 30
To check:
(2 x ₱30) + (3 x ₱30) = ₱150
₱60 + ₱90 = ₱150
₱60 is the amount received by Dale.
₱90 is the amount received by Joy.
11. ANNOUNCEMENT
The Glee Club and the Dance Club are auditioning
members for the forthcoming stage presentation. All
interested pupils must see Miss Ruby Hilario for the
audition on Monday, 1:00 p.m. At Room 25.
After one week, 72 pupils were accepted. The Glee
club and the Dance Club agreed that the ratio of
participants is 4:5, respectively. How many pupils were
chosen for each club?
1) What is the announcement about?
2) What are the important information to be written in the
announcement?
12. ANNOUNCEMENT
The Glee Club and the Dance Club are auditioning
members for the forthcoming stage presentation. All
interested pupils must see Miss Ruby Hilario for the
audition on Monday, 1:00 p.m. At Room 25.
After one week, 72 pupils were accepted. The Glee
club and the Dance Club agreed that the ratio of
participants is 4:5, respectively. How many pupils were
chosen for each club?
3) Why do pupils joined clubs such as Dance Club and
Glee Club?
4) Why is it good to join clubs such as Dance and Glee
Club?
13. ANNOUNCEMENT
The Glee Club and the Dance Club are auditioning
members for the forthcoming stage presentation. All
interested pupils must see Miss Ruby Hilario for the
audition on Monday, 1:00 p.m. At Room 25.
After one week, 72 pupils were accepted. The Glee
club and the Dance Club agreed that the ratio of
participants is 4:5, respectively. How many pupils were
chosen for each club?
What is asked?
What are the given data?
What is the relationship of 72 pupils to the ratio 4:5?
14. ANNOUNCEMENT
The Glee Club and the Dance Club are auditioning
members for the forthcoming stage presentation. All
interested pupils must see Miss Ruby Hilario for the
audition on Monday, 1:00 p.m. At Room 25.
After one week, 72 pupils were accepted. The Glee
club and the Dance Club agreed that the ratio of
participants is 4:5, respectively. How many pupils were
chosen for each club?
How can you solve the problem?
15. Glee Club Dance Club Total
4 x 1 = 4 5 x 1 = 5 9
4 x 2 = 8 5 x 2 = 10 18
4 x 3 = 12 5 x 3 = 15 27
4 x ____ = ____ 5 x ____ x ____ 72
What operation/s are you going to use to find the answer?
What will you multiply to 4 and 5 to have a sum of 72?
What is the equation?
4n + 5n = 72
16. 4n + 5n = 72
9n = 72
N = 72 ÷ 9
N = 8
(4 x 8) + (5 x 8) = 72
32 + 40 = 72
32 pupils joined the Glee Club.
40 pupils joined the Dance Club.
17. Analyze and solve each problem.
1) Two numbers are in the ratio 5:3. if the
sum is 80, find the two numbers.
2. The ratio of chairs to tables is 2:7. There
are 180 chairs and tables in a party. How
many are there of each kind?
3. The sum of two numbers is 215. if the
ratio is 2:3, find the larger number.
18. How do you solve word problems involving
partitive proportion?
What are the processes involved?
19. Solve the given problems.
1) The salary of two workers is in the ratio 3:4. they
received ₱12,250.00. how much did each worker
receive?
2) The ratio of men to women at a college is 7 to 5.
How many women students are there if there are
350 men?
3) The ratio of Math books to other books in a class
is 8:5. How many Math books are there if there are
247 books in all?
4) Two numbers are in the ratio of 4:7. If the
difference between the two numbers is 48, find the
20. Read and analyze, then solve the problems.
1) The ratio of cats to dogs is 6:5. There are
495 dogs and cats in a certain barangay.
a. How many cats are there?
b. How many dogs are there?
2) Three numbers are in the ratio 2:5:7. if
their sum is 504, what are the three
numbers?
a) first number b) second number c) third
number
