Learning Task 3: Find the rate
1. What percent of 200 is 28?
2. What percent of 100 is 13?
3.240 is n% of 400
4. What percent of 40 is 30?
5. 27 is n% of 60
Learning Task 4: Find the base
1.27 is 45 % of what number?
2. 7 is 35% of what number?
3. 26 is 40% of what number?
4. 12 is 30% of what number?
5. 10 is 20% of n
Answers & Comments
Answer:
1. 14%
2. 13%
3. 60%
4. 75%
5. 45%
1. 60
2. 20
3. 65
4. 40
5. 50
Step-by-step explanation:
To find the rate, divide percentage by base and multiply the product by 100%.
1. 28/200=0.14
0.14x100%=14%
2. 13/100=0.13
0.13x100%=13%
3. 240/400=0.6
0.6x100%=60%
4. 30/40=0.75
0.75x100%=75%
5. 27/60=0.45
0.45x100%=45%
To find the base, divide the percentage by rate. Before dividing, change the percent into a decimal form, e.g 15%=0.15, then get rid of the decimal by moving the decimal point to the right until it become a whole number e.g 0.15, move 2 decimal places to the right, we got 15. If you move two decimal places in the divisor, also move two decimal places in the dividend.
Example:
100/25%
25%=0.25
100/0.25
10000/25
400
1. 27/45%
27/0.45
2700/45=60
2. 7/35%
7/0.35
700/35=20
3. 26/40%
26/0.40
2600/40=65
4. 12/30%
12/0.30
1200/30=40
5. 10/20%
10/0.20
1000/20=50