The eighth grade classes at Charming Middle School, Kenton Middle School and Uplands Middle School planned separate trips to Chicago. Each van and each bus carried the same number of students per vehicle at all three schools. The eighth grade class at Charming Middle School rented and filled two vans and five buses with 334 students. Kenton Middle School rented and filled three vans and ten buses with 656 students. How many vans and buses will Uplands Middle School need to set exactly 482 eighth grader students? Show all work to support your answer.

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

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