Cups of punch

Cyka made 6 19/20 cups of punch punch at two different types of juice in it. If the punch had 4 1/5 cups of one type of juice how many cups of the other type of juice did it have?

Correct answer:

b =  2.75

Step-by-step explanation:

$$\begin{gathered} t=6{\displaystyle \frac{19}{20}}=6+{\displaystyle \frac{19}{20}}={\displaystyle \frac{6\cdot 20+19}{20}}={\displaystyle \frac{139}{20}}=6.95 \\ a=4{\displaystyle \frac{1}{5}}=4+{\displaystyle \frac{1}{5}}={\displaystyle \frac{4\cdot 5+1}{5}}={\displaystyle \frac{21}{5}}=4.2 \\ b=t-a=6.95-4.2={\displaystyle \frac{11}{4}}=2\frac{3}{4}=2.75 \end{gathered}$$

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