# RATL 1 | Lesson 2 | Try This! (Solutions Percent Increase and Decrease)

## Percentage Increase and Decrease

1.  Use percentage strips to find a 50% increase of 424.   Verify your solution using an equation.

 10% 10% 10% 10% 10% 10% 10% 10% 10% 10% 42.4 42.4 42.4 42.4 42.4 42.4 42.4 42.4 42.4 42.4
 10% 10% 10% 10% 10% 42.4 42.4 42.4 42.4 42.4

Solution 1:  There are 15 values of 42.4 in 150%:

$15(42.4)=636$

Solution 2: 100% is 424.  50% (one-half) is 212.  Therefore, 150% is 100% + 50%:

$424+212=636$

2. Use percentage strips to find a 40% decrease of 36.  Verify your solution using an equation.

 10% 10% 10% 10% 10% 10% 10% 10% 10% 10% 3.6 3.6 3.6 3.6 3.6 3.6 3.6 3.6 3.6 3.6

Solution 1:  To find a 40% decrease, we would subtract 40% from the total 100% which is same as subtracting $$4(3.6)$$ from 36:

$36-4(3.6)=36-14.1=21.4$

Solution 2: Calculate directly by realizing that 40% decrease is the same as 60% of the total (100%$$-$$60%) which is:

$6(3.6)=21.4$