At tomi's middle school, $40\%$ of the students are boys. fifty percent of the boys chose blue as their favorite color, while $20\%$ of the girl students chose blue as their favorite color. of the students who chose blue as their favorite color, what fraction are boys? express your answer as a common fraction.

Step-by-step explanation:

Let the total number of students = x,

∴ Number of boys = 40% of x = 0.4x,

So, the number of girls = students - boys

= x - 0.4x

= 0.6x

Now, 50% of the boys chosen blue as their favourite colour,

So, the number of boys whose favourite colour is blue = 50% of 0.4x

= 0.50 × 0.4x

= 0.2x,

Now, 20% of the girls chosen blue as their favourite colour,

So, the number of girls whose favourite colour is blue = 20% of 0.6x

= 0.20 × 0.6x

= 0.12x

Thus, the total students who like blue colour = 0.20x + 0.12x = 0.32x

Also, the fraction of the boys whose favourite colour is blue out of the total students who like blue

the distance from any point on the parabola to the focus is the exact same as the distance from that point to the directrix.

if you could provide answer choices that might allow me to answer the question easier if my above answer isn't an option! (:

add an image

step-by-step explanation: