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 smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet