Question

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

Answer 1

Answer:

Inequality: $25x + 50 \leq\ 225$

Number of Friends: At most 6

Step-by-step explanation:

Given

$Concert = \ 25$

$Food\ and\ Shirts= \ 50$

$Amount = \ 225$

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:

$25x + 50 \leq\ 225$

Solving (b): Number of friends

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

$25x + 50 \leq\ 225$

$25x \leq\ 225 - 50$

$25x \leq\ 175$

Divide through by 25

$x \leq\ 175/25$

$x \leq\ 7$

Since the value of x above also include Jessica;

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