Question

A coffee cart sells coffee for $2 and tea for S1.50. On Thursday, a total of 59 cups were used to serve tea and coffee, and the cart operator collected a total of $108.50 from tea and coffee sales. Modules Grades How many cups of tea and cups of coffee were sold? Syllabus Select the correct answer below: There were 20 cups of coffee and 39 cups of tea sold. O There were 42 cups of coffee and 17 cups of tea sold. There were 30 cups of coffee and 29 cups of tea sold. There were 40 cups of coffee and 19 cups of tea sold. There were 33 cups of coffee and 26 cups of tea sold

Answer 1

There were 40 cups of coffee and 19 cups of tea sold.

Explanation:

Total number of cups sold = 59

Let the number of tea cups = x

Let the number of coffee cups = y

Then,
`\[x+y=59\]` ------------------- (1)

Total amount collected = $108.50

=>
`\[1.5 x + 2y = 108.50\]` -------------------- (2)

From (1),
`\[y=59 - x\]` ------------------------ (3)

Substituting in (2):

=>
`\[1.5 x + 2 (59-x) = 108.50\]`

=>
`\[1.5 x + 118- 2x = 108.50\]`

=>
`\[-0.5 x = -9.5\]`

=>
`\[x = 19\]`

Substituting in (3):

`\[y=59 - 19\]`

=>
`\[y=40\]`