A teacher recorded the gender of 100 students, and whether or not they were wearing a watch. For male students, 13 wear a match and 44 do not wear a watch. For female students, 34 out of 43 do not wear a match. How many male students are there in all? How many female students wear a match? What is the ratio of female students who wear a match to male students who wear a watch?

Answer + Step-by-step explanation:

How many male students are there in all? There are 57 male students.

How many female students wear a match? 34 out of 43 females wear a watch.

What is the ratio of female students who wear a match for male students who wear a watch?

34:13 - (34 females wear a watch, and... 13 males wear a watch.)

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is