Glass

Trader ordered from the manufacturer 200 cut glass. The manufacturer confirmed the order that the glass in boxes sent a kit containing either four or six glasses. Total sent 41 boxes.
a) How many boxes will contain only four glasses?
b) How many boxes will contain six glasses?

Correct answer:

a =  23
b =  18

Step-by-step explanation:

$$\begin{gathered} a+b=41 \\ 4a+6b=200 \\ 4a+6(41-a)=200 \\ 4\cdot a+6\cdot (41-a)=200 \\ 2a=46 \\ a=\frac{46}{2}=23 \\ a=23 \end{gathered}$$

$b=41-a=41-23=18$

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