Part-time 81067

I had 350 euros left over from the money I earned from the part-time job. I bought soccer cleats with half of the money I earned and a soccer ball with the other half. How much did I earn from the part-time job?

Correct answer:

x =  1400 eur

Step-by-step explanation:

$$\begin{gathered} x-\frac{x}{2}-(x-\frac{x}{2})/2=350 \\ x-x/2-(x-x/2)/2=350 \\ 0.5x=700 \\ x=\frac{700}{0.5}=1400=1400\text{eur} \\ x=1400 \\ \text{ Verifying Solution: } \\ k=x/2=1400/2=700\text{eur} \\ l=(x-x/2)/2=(1400-1400/2)/2=350\text{eur} \\ z=x-k-l=1400-700-350=350\text{eur} \end{gathered}$$

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