Kim's coffee shop sells a cup of tea for $1.05, a cup of coffee for $1.35, and a cup of hot chocolate for $2.25 . One busy day, 20 more cups of coffee than of hot chocolate were sold, and 30 more cups of coffee than tea, for a total of 202.50 for all three hot drinks. How many cups of each drink were sold?

Question

amistre64 · Answer

T=1.05;  C=1.35; Hc=2.25.

C = Hc+20 ; C=T+30.

Hc + 20 = T+30  sooo...
Hc = T +30-20
Hc = T + 10
this is what I got so far :)

amistre64 · Answer

(T+30)(1.35) + (T+10)(2.25) + T(1.05) = 202.50

If I did it right :)

amistre64 · Answer

1.35T + 40.5 + 2.25T +22.5 + 1.05T = 202.50

amistre64 · Answer

T(1.35 +2.25+1.05) +63 = 202.50

T(4.65) = 202.50 -63

T = 139.5/4.65

T =  30.

There were 30 teas sold.

amistre64 · Answer

C=T+30  and Hc = T+10

60 coffees sold; and 40 hot chocolates sold.

amistre64 · Answer

Am I right?

anonymous · Answer

Thank you :)

anonymous · Answer

yur a genius

amistre64 · Answer

awww.... you only saying that cause its true :)

anonymous · Answer

yah :) thnks again

anonymous · Answer

kso , I'm doing the same question , but I don't get how you got " 1.35T + 40.5 + 2.25T +22.5 + 1.05T = 202.50" ?