Question

Arnob, Bella, Colin, Dante, and Erin are going to a baseball game. They have a total budget of $100.00 to spend. Each game ticket costs $17.50 and each drink costs $2.00. The inequality below relates x, the number of drinks the 5 friends could buy in all, with their ticket costs and budget.

Answer 1

Answer:

6

Step-by-step explanation:

Given :

Arnob, Bella, Colin, Dante, and Erin are going to a baseball game.

They have a total budget of $100.00 to spend.

Each game ticket costs $17.50 and each drink costs $2.00

To Find: the number of drinks the 5 friends could buy in all, with their ticket costs and budget.

Solution :

Cost of each ticket is $17.50

cost of 5 tickets = $17.50*5 = $87.50

Let they buy x drinks .

Cost of each drink is $2

so, cost of x drinks = $2x

Total money they spent =  $87.50+$2x

Since they can spend only $100

⇒100=87.50+2x

Thus the inequality is 100=87.50+2x

Now, 100=87.50+2x

100-87.50=2x

12.5=2x

x= 6.25

Thus the number of bottles friends could buy to maintain the budget is 6

Answer 2

The number of drinks the 5 friends could buy in all, with their ticket costs and budget is: They can buy only from 0 to 6 drinks, but no more.

Number of drinks to buy:

Let the number of drinks=x

Let the inequality=5(17.5)+2x≤100

Hence:

5(17.5)+2x≤100

87.5+2x≤100

Collect like terms

100-87.5≥2x

12.5≥2x

Divide both side by 2x

x=12.5/2

x=6.25

x=6 drinks

Inconclusion the number of drinks the 5 friends could buy in all, with their ticket costs and budget is: They can buy only from 0 to 6 drinks, but no more.

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