Sayavong

Sayavong is making cookies for the class. He has a recipe that calls for 3 and 1/2 cups of flour. He has 7/8 of a cup of wheat flour, and 2 and 1/2 cups of white flour. Does Mr. Sayavong have enough flour to make the cookies?

Result

x=

Yes

No

Step-by-step explanation:

$$\begin{gathered} r=3{\displaystyle \frac{1}{2}}=3+{\displaystyle \frac{1}{2}}={\displaystyle \frac{3\cdot 2+1}{2}}={\displaystyle \frac{7}{2}}=3.5\text{ cup } \\ a={\displaystyle \frac{7}{8}}=0.875\text{ cup } \\ b=2{\displaystyle \frac{1}{2}}=2+{\displaystyle \frac{1}{2}}={\displaystyle \frac{2\cdot 2+1}{2}}={\displaystyle \frac{5}{2}}=2.5\text{ cup } \\ s=a+b=0.875+2.5={\displaystyle \frac{27}{8}}=3\frac{3}{8}=3.375\text{ cup } \\ s<r \\ x=0=0 \end{gathered}$$

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