SOLUTION: Kelly has a coffee shop. Tea is $1.05, Coffee is $1.35, and Hot Chocolate is $2.25. One day she sold 20 more cups of coffee than hot chocolate, 30 more cups of coffee than tea fo

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Question 189966: Kelly has a coffee shop. Tea is $1.05, Coffee is $1.35, and Hot Chocolate is $2.25. One day she sold 20 more cups of coffee than hot chocolate, 30 more cups of coffee than tea for a total of $202.50. How many cups of each drink did she sell?
Found 2 solutions by nerdybill, stanbon:
Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website!
Let x = number of cups of hot chocolate sold
then
20+x = number of cups of coffee sold
(20+x)-30 = number of cups of tea sold
or
x-10 = number of cups of tea sold
.
1.05(x-10) + 1.35(20+x) + 2.25x = 202.50
1.05x - 10.5 + 27 + 1.35x + 2.25x = 202.50
4.65x + 16.5 = 202.50
4.65x = 186
x = 40 (cups of hot chocolate)
.
Cups of coffee:
20+x = 20+40 = 60 (cups of coffee)
.
Cups of tea:
x-10 = 40-10 = 30 (cups of tea)

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Kelly has a coffee shop. Tea is $1.05, Coffee is $1.35, and Hot Chocolate is $2.25.
One day she sold 20 more cups of coffee than hot chocolate, 30 more cups of coffee than tea for a total of $202.50.
How many cups of each drink did she sell?
------------------------
Let # of hot chocolate be "h".
Then # of coffee sold was "h+20"
And # of tea sold was h+20-30 = "h-10"
------------------------
Value Equation:
2.25h + 1.35(h+20) + 1.05(h-10) = 202.50
Multiply thru by 100 to get:
225h + 135h + 2700 + 105h - 1050 = 20250
---
h = 40 (# of cups of hot chocolate sold)
h+20 = 60 (# of cups of coffee sold)
h-10 = 30 (# of cups of tea sold)
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Cheers,
Stan H.