Q:

A concession-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.

Accepted Solution

A:
Answer: The equations are w + s = 45002.25s = 4500Step-by-step explanation:Let w represent the number of bottles of water that the football manager bought.Let s represent the number of bottles of soda that the football manager bought.The manager needs to buy a total of 4,500 drinks. This means thatw + s = 4500He also needs to have 25% more water than soda. 25% of soda = 25/100 × s = 0.25s25% more of water than soda = s + 0.25s = 1.25sThe equation would be1.25s + s = 45002.25s = 4500