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Paraphin [41]
3 years ago
7

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.
Mathematics
2 answers:
tigry1 [53]3 years ago
7 0

Answer:

<h2>The manager has to by 2,000 sodas and 2,500 water drinks.</h2>

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

w+s=4500

Where w is water and s is soda.

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

w=s+0.25s=1.25s

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

w+s=4500\\1.25s+s=4500\\2.25s=4500\\s=\frac{4500}{2.25}=2000

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

w+2000=4500\\w=4500-2000\\w=2500

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

larisa86 [58]3 years ago
5 0
W + s = 4500 and w = s + .25s



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