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AnnyKZ [126]
2 years ago
14

At most, Alana can spend $40 on carnival tickets. Ride tickets cost $4 each, and food tickets cost $2 each. Alana buys at least

16 tickets. The system of inequalities represents the number of ride tickets, r, and the number of food tickets, f, she buys.
r + f ≥ 16

4r + 2f ≤ 40


What is the maximum number of ride tickets she can buy?

4
6
10
12
Mathematics
2 answers:
ollegr [7]2 years ago
4 0
4 is the number of ride tickets she can buy
ivanzaharov [21]2 years ago
3 0

Answer:

<em>The correct option is:  4</em>

Step-by-step explanation:

Given system of inequalities is......

r+f\geq 16\\ \\ 4r+2f\leq 40

Taking both inequalities as equations.....

r+f=16................(1)\\ \\ 4r+2f=40.............(2)

Multiplying equation (1) by -2, we will get....

-2(r+f)=-2(16)\\ \\ -2r-2f=-32................(3)

Now adding equation (2) and (3)..........

4r+2f=40\\ -2r-2f=-32\\ .............................\\ 2r\ \ \ \ \ \ \ \ \ =8\\ \\ r=\frac{8}{2}=4

So, the maximum number of ride tickets she can buy is 4.

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