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

The possible solution to the inequality is 5 number of drinks and 9 number of pretzels.

Let x represent the number of drinks purchased and y represent the number of pretzels purchased.

Jason has $65 to spend, hence:

4x + 5y ≤ 65    (1)

He must buy at least 14 drinks and pretzels altogether, hence:

x + y ≥ 14   (2)

Plotting equations 1 and 2 on geogebra online graphing tool, the possible solution is (5, 9).

Find out more on inequalities at: https://brainly.com/question/241541