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.

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.

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step-by-step explanation: