High School

Put these in order of size, smallest first.

A. [tex]20\%[/tex] of 5600
B. [tex]10\%[/tex] of 12000
C. [tex]5\%[/tex] of 20000
D. [tex]2\%[/tex] of 49900

Answer :

Let's find the percentages for each option and then order them from smallest to largest.

1. Option A: 20% of 5600
- Calculate 20% of 5600 by multiplying 5600 by 0.20.
- [tex]\( 5600 \times 0.20 = 1120 \)[/tex]

2. Option B: 10% of 12000
- Calculate 10% of 12000 by multiplying 12000 by 0.10.
- [tex]\( 12000 \times 0.10 = 1200 \)[/tex]

3. Option C: 5% of 20000
- Calculate 5% of 20000 by multiplying 20000 by 0.05.
- [tex]\( 20000 \times 0.05 = 1000 \)[/tex]

4. Option D: 2% of 49900
- Calculate 2% of 49900 by multiplying 49900 by 0.02.
- [tex]\( 49900 \times 0.02 = 998 \)[/tex]

Now, let's order these results from smallest to largest:

- [tex]\( 998 \)[/tex] (from Option D)
- [tex]\( 1000 \)[/tex] (from Option C)
- [tex]\( 1120 \)[/tex] (from Option A)
- [tex]\( 1200 \)[/tex] (from Option B)

Thus, the correct order from smallest to largest is: D, C, A, B.