Jessica decided to take some friends to a concert. The concert cost $25 each and she plans on spending $50 on shirts and food. A) write an inequality to represent the situation if Jessica can spend at most $225. B) how many friends will Jessica be able to bring the concert

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MrRoyal MrRoyal · Answer 1 · 2020-09-24T03:40:05+02:00

Answer:

Inequality: [tex]25x + 50 \leq\ 225[/tex]

Number of Friends: At most 6

Step-by-step explanation:

Given

[tex]Concert = \$ 25[/tex]

[tex]Food\ and\ Shirts= \$50[/tex]

[tex]Amount = \$225[/tex]

Solving (a): Inequality

Let the number of friends including Jessica be represented by x

Per individual, the concert is 25

For x individuals, the concert is 25x

Since she will be spending at most 225,

the inequality can be represented as:

[tex]25x + 50 \leq\ 225[/tex]

Solving (b): Number of friends

This implies that we solve for x in (a) above

[tex]25x + 50 \leq\ 225[/tex]

[tex]25x \leq\ 225 - 50[/tex]

[tex]25x \leq\ 175[/tex]

Divide through by 25

[tex]x \leq\ 175/25[/tex]

[tex]x \leq\ 7[/tex]

Since the value of x above also include Jessica;

This implies that she will be able to bring at most 6 friends