3 drinks and 2 pretzels costs $16, but 5 drinks and 5 pretzels costs $31.25. What is the price of one pretzel?

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09-12-2020
Mathematics

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3 drinks and 2 pretzels costs $16, but 5 drinks and 5 pretzels costs $31.25. What is the price of one pretzel?

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meowmeow223334 meowmeow223334 · Answer 1 · 2020-12-09T16:48:07+01:00

meowmeow223334 meowmeow223334

09-12-2020

(3d + 2p = 16)5
(5d + 5p = 31.25)3
Make them same d value
15d + 10p = 80
15d + 15p = 93.75
Subtract both (elimination)
-5p = -13.75
Divide by -5
p = 2.75
Answer: $2.75 per pretzel

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