Fruits

2/3 of the fruits are cherries, and the rest are grapes. I sold 1/2 of the cherries and 1/4 of the grapes. If I had 280 left, how many fruits had I at first?

Final Answer:

x =  480

Step-by-step explanation:

$$\begin{gathered} 280=x-\frac{2}{3}\cdot \frac{1}{2}\cdot x-\frac{1}{3}\cdot \frac{1}{4}\cdot x \\ 280=x-2/3\cdot 1/2\cdot x-1/3\cdot 1/4\cdot x \\ 7x=3360 \\ x=\frac{3360}{7}=480 \\ x=480 \end{gathered}$$

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