Luana

Luana is making a recipe that uses 2 7/8 cups of sugar. She has 1 1/4 cups of sugar in her sugar bowl and 7 1/2 cups of sugar in the canister. How many cups of sugar will Luana have left after she makes her recipe?

Correct answer:

x =  5.875 c

Step-by-step explanation:

$$\begin{gathered} a=1{\displaystyle \frac{1}{4}}=1+{\displaystyle \frac{1}{4}}={\displaystyle \frac{1\cdot 4+1}{4}}={\displaystyle \frac{5}{4}}=1.25\text{ c } \\ b=7{\displaystyle \frac{1}{2}}=7+{\displaystyle \frac{1}{2}}={\displaystyle \frac{7\cdot 2+1}{2}}={\displaystyle \frac{15}{2}}=7.5\text{ c } \\ c=2{\displaystyle \frac{7}{8}}=2+{\displaystyle \frac{7}{8}}={\displaystyle \frac{2\cdot 8+7}{8}}={\displaystyle \frac{23}{8}}=2.875\text{ c } \\ x=a+b-c=1.25+7.5-2.875={\displaystyle \frac{47}{8}}\text{ c}=5\frac{7}{8}\text{ c}=5.875\text{ c} \end{gathered}$$

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