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:
\[6(3.6)=21.4\]
Return to Try This! (Percent Increase and Decrease).
