problem set with solution

1. LOOK FOR A
PATTERN

2. PROBLEM 2:
Rodeo went to motorcycle dealer to buy a motorcycle.
He wanted the same motorcycle that his friend Tony
bought the day before, which had a sticker price of Php
15,000. The sales man said he could give a discount and
offered Rodeo a significantly reduced price. But Paul knew
that Tony have receive a 30 % discount, and the sales man
was offering him only a 20% discount. When he pointed
out that his friend had receive a 30 % discount the day
before, the sales man took another 10% off the 20%
discounted price. Rodeo was satisfied with the new price
and bought the motorcycle, thinking he had paid the same
price as Tony. Was he right? Did they both pay the same
price?

3. STEP 1 : What are we trying to find?
We will try to find if Rodeo had
really paid the same price as Tony.

4. Step 2. Assign a variable.
The variables will be T and R.

5. Step 3. Write the variable it represents.
T represents Tony’s payment for the price.
R represents Rodeo’s payment for the
price.

6. Step 4. Write an equation.
What we want to know is the price Tony and
Rodeo had paid, whether they had the same price or
not. Thus, there’s no need for us to formulate an
equation.

7. Step 5. Solve the equation.
Tony (T) Discount Off Price New Price
15,000 10 % 1,500 13,500
20 % 3,000 12,000
30 % 4,500 10,500
40 % 6,000 9,000
50 % 7,500 7,500
60 % 9,000 6,000

8. Php
Rodeo
(R)
20 % Price % off the
dciscounted
price
Total discount New price
20 % Php 3,000 10 % Php 1,200 = 4,200 Php 10,800
20 % Php
3,000
20 % Php 2,400 = 5,400 Php 9,600
20 % Php
3,000
30 % Php 3,600 = 6,600 Php 8,400
20 % Php
3,000
40 % Php 4,800 = 7,800 Php 7,200
20% Php
3,000
50 % Php 6,000 = 9,000 Php 6,000
20% Php
3,000
60 % Php 7,200 =10,200 Php 4,800

9. Step 6. Answer the question to the problem
• Rodeo and Tony had paid different price
for the motorcycle. Tony paid Php 10, 500
from the 30 % discount while Rodeo paid Php
10, 800 from the 20 % discount plus 10 % off
the 20 % discounted price. Therefore, Rodeo
was wrong for thinking that he had paid the
same price as Tony.

10. Step 6. Answer the question to the problem
• Rodeo and Tony had paid different price
for the motorcycle. Tony paid Php 10, 500
from the 30 % discount while Rodeo paid Php
10, 800 from the 20 % discount plus 10 % off
the 20 % discounted price. Therefore, Rodeo
was wrong for thinking that he had paid the
same price as Tony.