Answer:
[tex]y=12[/tex]
Step-by-step explanation:
given
green = 28
red = 35
yellow = y
prediction of yellow = 16 of 100
require
determine y
first ,we need to calculate the probability of yellow.
probability of yellow =
probability = yellow\total
where
total = yellow + red + green
total = y+ 35 + 28
total= y+ 63
so,
probability =y/( + 63)
also the prediction of yellow is 16 out of 100 .
represent this as probability
probability = 16/100
equate both expression to solve for y
y/(y+ 63)=16/100
y/(y + 63)= 0.16
multiply both sides by (y + 63)
y= 0.16(y + 63)
y= 0.16 y + 10.08
collect like terms
y- 0.16=10.08
0.84y =10.08
solve for y
y=10.08 /0.84
y=12
