Master apprentice products

The master produced a quarter more products than one of his apprentices. Together they produced 45 products. How many products did the apprentice make, and how many did the master make?

Final Answer:

m =  25
u =  20

Step-by-step explanation:

$$\begin{gathered} m=u+u/4 \\ m+u=45 \\ 4m-5u=0 \\ m+u=45 \\ Row2-\frac{1}{4}\cdot Row1\to Row2 \\ 2.25u=45 \\ u=\frac{45}{2.25}=20 \\ m=\frac{0+5u}{4}=\frac{0+5\cdot 20}{4}=25 \\ m=25 \\ u=20 \end{gathered}$$

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