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.

Respuesta :

(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:

[tex]40+15x \leq 200[/tex]

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

Step-by-step explanation:

Number of persons = 5

Admission cost of 1 person = $8

So, Admission cost of 5 persons = [tex]8 \times 5 =40[/tex]

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 = [tex]40+15x[/tex]

Since we are given that THad has 200$.

So, he cannot spend more than 200

So, inequality becomes: [tex]40+15x \leq 200[/tex]

Thus an inequality that models the situation is  [tex]40+15x \leq 200[/tex]

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

So, total money spent = [tex]40+15(3)=85[/tex]

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