Students surveyed boys and girls separately to determine which sport was enjoyed the most. • After completing the boy survey, it was determined that for every 3 boys who enjoyed
soccer, 7 boys enjoyed basketball.
The girl survey had a ratio of the number of girls who enjoyed soccer to the number of girls
who enjoyed basketball of 5:3.
If the same number of boys and girls were surveyed, and 45 girls enjoy soccer, how many boys
enjoy each sport?

correct

step-by-step explanation:

i pretty sure it is

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is