Answer:
They can buy only from 0 to 6 drinks, but no more.
Explanation:
No. of friends = 5
Cost of 1 game ticket = $17.50
Cost of 5 game ticket =
![17.50 * 5=87.5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5y4b0othdp92hdhdx4k4bofjai1tuejqzp.png)
Let x be the number of drinks
Cost of 1 drink = $2
So, cost of x drinks = 2x
So, total cost =
![87.5+2x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ey00znh003cwauzpwfsnk4nkd8ucto67kv.png)
Since we are given that they have a total budget of $100.00 to spend.
So, they can spend 100 or less than 100.
So, equation becomes :
![87.5+2x\leq 100](https://img.qammunity.org/2020/formulas/mathematics/middle-school/loei9ddxvid9grx4n21mr5un2kdhbjl4tf.png)
![2x\leq 100-87.5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/yr02waibexsh6o5s3qt421dd2a0k38chyd.png)
![2x\leq 12.5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/uf8s4bw8mvnbcedbogla2ygywu2gi0umw1.png)
![x\leq (12.5)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/o0uh34oi1q0qrkti6jskx9cl3jgmc7ybqi.png)
![x\leq 6.25](https://img.qammunity.org/2020/formulas/mathematics/middle-school/cqxkura9t6e3cpbwldnpsr0tcyhz77rgmz.png)
So, no. of drinks can be less than or equal to 6
So,They can buy only from 0 to 6 drinks, but no more.