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

I believe it's $177 because 15+8=23 and 200-23= $177 I hope this helped :))

Answer 2

Given,

Total number of members = 5,

Also, admission to the fair costs $8,

So, the total fair cost = $ 40

Part A: Let x represents the number of people who ride, and y represents the amount ( in dollars ) needed for food and souvenirs,

Since, ride cost for each person = $ 15,

So, the total ride cost = 15x dollars,

Thus, the total spending = ( 40 +15x + y ) dollars

According to the question,

The budget is of $ 200,

That is, total spending can not exceed $ 200,

⇒ 40 +15x + y ≤ 200

⇒ 15x + y ≤ 160

Which is the required inequality that represents the given situation,

Part B : If x = 3

15(3) + y ≤ 160

45 + y ≤ 160

y ≤ 115

Hence, $ 115 would left for food and souvenirs.