Question

you are shopping for disposable cameras to hand out at a party. the daytime cameras costs 2.75 dollars and the flash camera costs 4.25 dollars. you must buy exactly 20 cameras and you want to spend between 65 and 75 dollars, inclusive. write and solve a compound inequality for this solution. list all of the solutions that involve whole numbers of cameras.

Answer 1

Solving a compound inequality for this solution gives solution as;

13 daytime cameras and 7 flash cameras or 7 daytime cameras and 13 flash cameras

How to solve inequality problems?

Let the number of daytime cameras be x

Let the number of flash cameras be y

Thus, we have;

x + y = 20    ------(1)

Now, daytime cameras costs 2.75 dollars and the flash camera costs 4.25 dollars and you want to spend between 65 and 75 dollars, inclusive. Thus, the inequality to represent this are;

2.75x + 4.25y ≥ 65 and 2.75x + 4.25y ≤ 75

Solving the 3 compound inequalities simultaneously, we can say that the approximate values of the numbers of cameras are;

13 daytime cameras and 7 flash cameras or 7 daytime cameras and 13 flash cameras

Read more about Inequalities at; https://brainly.com/question/25275758

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