Aconcession-stand manager buys bottles of water and soda to sell at a football game. the manager needs to buy a total of 4,500 drinks and have 25% more water than soda. let w be the number of bottles of water and let s be the number of bottles of soda. create a system of equations for w in terms of s that the manager could use to find out how many bottles of water and soda to buy.

Step-by-step explanation:

From the problem we know that the manage needs to buy a total of 4,500 drinks between water and soda, this can be expressed as

Where is water and is soda.

Then, it's given that there is needed 25% more water than soda, which can be expressed as

Which means that water represents 125% of the soda, because we must include the additional 25% more water over soda.

Then, we replace the second relation into the first one

Now, we replace this value in one equation to obtain the other one

Therefore, the manager has to by 2,000 sodas and 2,500 water drinks.

step by step solution :

step   1   :

1.1     4 = 22

(4)3 = (22)3 = 26

equation at the end of step   1   :

  ((23) • 26)2

step   2   :

equation at the end of step   2   :

  (23 • 26)2

step   3   :

final result :

  218

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