Question

Joanna polled her peers on their favorite color. The results were 3/4 said blue, 10% said orange, and 0.15 said purple. If Joanna polled 40 peers how many total peers said their favorite color was orange or blue?

Answer 1

Orange = 4 peers

Blue = 30 peers

Explanation:

Orange

Step 1: Find 10% of the total (40): Convert 10% to decimal form

• Step 1: Divide 10 by 100
• 
  `10\%\:=(10)/(100)`
• 
  `=0.1`

Step 2: Multiply 0.1 by 40

`=0.1\cdot \:40`

`=4`

4 total peers said their favorite color was orange

Blue

Step 1: Convert
`(3)/(4)` to percentage;
`(3)/(4) = 75\%`

• Step 1: Divide the fraction by 100

• 
  `(3)/(4) * 100`

• 
  `= 75`

Step 2: Find 75% of 40: Convert 10% to decimal form

• Divide 10 by 100

• 
  `75\%\:=(75)/(100)`

• 
  `=0.75`

Step 3: Multiply 0.75 by 40

`=0.75\cdot \:40`

`=30`

30 total peers said their favorite color was blue

Purple

Step 1: Convert 0.15 to percentage

`15\%`

Step 2: Find 15% of 40

`(x)/(40)=(15)/(100)`

Step 3: Cross multiply; Multiply 0.15 by 40

`=0.15\cdot \:40`

`=6`