Thank you for visiting A coffee cart sells coffee for 2 and tea for 1 50 On Thursday a total of 59 cups were used to serve tea and. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Answer:
There were 40 cups of coffee and 19 cups of tea sold.
Step-by-step explanation:
Total number of cups sold = 59
Let the number of tea cups = x
Let the number of coffee cups = y
Then, [tex]\[x+y=59\][/tex] ------------------- (1)
Total amount collected = $108.50
=> [tex]\[1.5 x + 2y = 108.50\][/tex] -------------------- (2)
From (1), [tex]\[y=59 - x\][/tex] ------------------------ (3)
Substituting in (2):
=> [tex]\[1.5 x + 2 (59-x) = 108.50\][/tex]
=> [tex]\[1.5 x + 118- 2x = 108.50\][/tex]
=> [tex]\[-0.5 x = -9.5\][/tex]
=> [tex]\[x = 19\][/tex]
Substituting in (3):
[tex]\[y=59 - 19\][/tex]
=>[tex]\[y=40\][/tex]
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