Potato delivery

When delivering potatoes, the driver unloaded one-half of the bags of potatoes in the first store, one-third of the remaining bags in the second store, and the last 24 bags of potatoes in the third store. How many bags did the driver initially have in the car? How many bags did he unload at each store?

Final Answer:

x =  72
a =  36
b =  12
c =  24

Step-by-step explanation:

$$\begin{gathered} \frac{x}{2}+(x-\frac{x}{2})|3+24=x \\ x/2+(x-x/2)/3+24=x \\ 2x=144 \\ x=\frac{144}{2}=72 \\ x=72 \end{gathered}$$

$a=x/2=72/2=36$

$b=(x-x/2)/3=(72-72/2)/3=12$

$c=24$

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