Carlos makes baskets with bags of coffee or boxes of tea. he has 72 bags of coffee and 56 boxes of tea. he wants to put an equal number of bags of coffee and boxes of tea in each basket. each basket contains only coffee or tea. a. what is the largest number of bags of coffee or boxes of tea that he can put in each basket?

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

p = 6s

step-by-step explanation: