Question

Jason and his children went into a movie theater where they sell drinks for $4 each and pretzels for $5 each. Jason has $65 to spend and must buy at least 14 drinks and pretzels altogether. If
x
x represents the number of drinks purchased and
y
y represents the number of pretzels purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answer 1

Answer:

Jason could buy 13 drinks and 2 pretzels.

Step-by-step explanation:

The inequalities are:

y ≥ 14 − x

by shading up and graph

y ≤ 13 - 4/5x

by shading down

Answer 2

Answer:

Number of drink = 5

Number of pretzel = 9

Step-by-step explanation:

Given:

Cost of each drink = $4

Cost of each pretzel = $5

Total money = 65

Total number of drink and pretzel = 14

Find:

Number of drink and pretzel

Computation:

Number of drink = x

Number of pretzel = 14 - x

So,

x(4) + (14-x)5 = 65

4x + 70 - 5x = 65

x = 5

Number of drink = 5

Number of pretzel = 14 - x

Number of pretzel = 14 - 5 = 9