I need help getting this answer written out as a statement and math problem. I'm confused.

Question

Im doing a homework project and I am confused about how to get this answer. I dont see how you can sell the same number of bottles of each at different costs to get to $100. Thank you 

 

water cost $1.50 and sports drink cost $2.50.

 

The park committee set up a concession stand at the start of the hiking trails. If the committee sold the same number of bottles of water and sports drink, how many bottles of each drink would they need to sell to collect $100.00

Answer 1

Kathie, hope this explanation helps - 

 

Let w be the number of water bottles.

Let s be the number of sports drink

 

Now, prepare the equation.

(w * 1.5 ) +  (2.5*s) = $100 -- eq(1)

 

As per the question, committee sold the same number of water bottles

therefore w = s -- eq(2)

 

Substitute equation 2 in equation 1

1.5w + 2.5w = 100

4w = 100

w =  25

 

Since w=s, therefore answer is 

25 bottles of each drink would committee need to sell to collect $100.00