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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?

Respuesta :

Answer:

Orange = 4 peers

Blue = 30 peers

Step-by-step explanation:

Orange

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

  • Step 1: Divide 10 by 100
  • [tex]10\%\:=\frac{10}{100}[/tex]
  • [tex]=0.1[/tex]

Step 2: Multiply 0.1 by 40

[tex]=0.1\cdot \:40[/tex]

[tex]=4[/tex]

4 total peers said their favorite color was orange

Blue

Step 1: Convert [tex]\frac{3}{4}[/tex] to percentage; [tex]\frac{3}{4} = 75\%[/tex]

  • Step 1: Divide the fraction by 100
  • [tex]\frac{3}{4} \times 100[/tex]
  • [tex]= 75[/tex]

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

  • Divide 10 by 100
  • [tex]75\%\:=\frac{75}{100}[/tex]
  • [tex]=0.75[/tex]

Step 3: Multiply 0.75 by 40

[tex]=0.75\cdot \:40[/tex]

[tex]=30[/tex]

30 total peers said their favorite color was blue

Purple

Step 1: Convert 0.15 to percentage

[tex]15\%[/tex]

Step 2: Find 15% of 40

[tex]\frac{x}{40}=\frac{15}{100}[/tex]

Step 3: Cross multiply; Multiply 0.15 by 40

[tex]=0.15\cdot \:40[/tex]

[tex]=6[/tex]

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