Question

Khloe and her children went into a movie theater where they sell bags of popcorn for $7 each and candies for $4 each. Khloe has 0p $60 to spend and must buy no less than 11 bags of popcorn and candies altogether. If x represents the number of bags of popcorn purchased and y represents the number of candies purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answer 1

let us start

the number of popcorn bags is x

The number of candies is y

The cost of each popcorn bag is $7

The cost of each candy is $4

She has $60 to spend on them

So the first inequality is

$7x+4y\leq60$

Since she must buy no less than 11 bags of popcorn and candies

The second inequality is

$x+y\ge11$

The red area represents the 1st inequality

The blue area represents the 2nd inequality

The solutions lie in the common part of red and blue colors

One possible solution is ordered pair (2, 10)