Question

Thad and his four family members are going to the fair. Admission to the fair costs $8. Books of ride tickets are $15. THad has 200$. How much will he have for food and souvenirs?

Part 1: Define your variables and write an inequality that models the situatio.
Part 2: After paying for all family members to get into the fair, Thad buys books of ride tickets for 3 of them. Use the in equality from Part 1 to solve for the amount of money Thad has left for food and souvenirs. Show your work.

Answer 1

(8x5) + (x times 15) is less than or equal to 200
x equals how many books of ride tickets

200 - (45 + 45) = 110 dollars for food and souveneirs

Answer 2

`40+15x \leq 200`

The amount of money Thad has left for food and souvenirs is $115

Explanation:

Number of persons = 5

Admission cost of 1 person = $8

So, Admission cost of 5 persons =
`8 * 5 =40`

Now let x be the number of ride tickets

Cost of 1 ride ticket =$ 15

So, cost of x ride tickets = 15x

So, Total cost =
`40+15x`

Since we are given that THad has 200$.

So, he cannot spend more than 200

So, inequality becomes:
`40+15x \leq 200`

Thus an inequality that models the situation is
`40+15x \leq 200`

Now we are given that Thad buys books of ride tickets for 3 of them

So, total money spent =
`40+15(3)=85`

So, the amount of money Thad has left for food and souvenirs= 200-85=$115

Hence The amount of money Thad has left for food and souvenirs is $115