Question

Jeff is buying tickets for a group of concerts. He wants tickets for at least 8 concerts. Each ticket for an afternoon concert costs $15 and each ticket for an evening concert costs $30. Jeff wants to spend no more than $300.

Which system of inequalities can Jeff use to find the number of tickets he can buy?
A. x + y ≥ 8 and 300 ≥ 15x + 30y
B. x + y ≤ 8 and 300 ≥ 15x + 30y
C. x + y ≥ 300 and 8 ≥ 15x + 30y
D. x + y ≤ 300 and 8 ≤ 15x + 30y

Answer 1

(A.)

Explanation:

you just have to follow the order that there going in so when they say less than you use the less than sign

Answer 2

The system of inequalities that Jeff can use to find the number of tickets he can buy is A. x + y ≥ 8 and 300 ≥ 15x + 30y

What is system of inequalities ?

A collection of two or more inequality in one or more variables is called a system of inequality. When there are multiple constraints on a problem's possible solutions, systems of inequalities are employed to find a solution.

Based on the provided information,

He wants tickets for at least 8 concerts which means ≥

let x =ticket for an afternoon concert costs =$15

Let y=ticket for an evening concert costs= $30

Then we have

x + y ≥ 8

Jeff wants to spend no more than $300. ≤

15x + 30y≤ $300

300 ≥ 15x + 30y

Then the two equations are

x + y ≥ 8

300 ≥ 15x + 30y