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

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

Number of Friends: At most 6

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