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?
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Let # of hot chocolate be "h".
Then # of coffee sold was "h+20"
And # of tea sold was h+20-30 = "h-10"
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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
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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.