Question

Kathryn asked 156 people to rate colors were purple, blue, and green as she is creating a new logo using one of her original doodle designs. She found the responses in the ratio 5-3-4. How any people chose purple?
A. 13
B. 65
C. Not possible to tell based on the given information
D. 60

Answer 1

Answer:

• B. 65

Step-by-step explanation:

Given

• Total number = 156
• Ratio = 5:3:4

Equation

• 5x + 3x + 4x = 156
• 12x = 156
• x = 13

Number 5 stands for purple in the ratio:

• 5*13 = 65

Correct choice is B

Answer 2

Find:-

Number of people choose purple.

Given:-

$Total people = 156$

$Ratio = 5:3:4$

Solution:-

$⟹5x + 3x +4x = 156$

$⟹12x= 156$

$⟹x=\frac{156}{12}$

$⟹x= 13$

⟹No of people choose purple = 5x

$= 5×13$

$= 60$