Grandchildren 28641

Mr. Novák wants to distribute CZK 1,600 among his grandchildren. They divide the amount according to their age. The two grandchildren are 15 years old. The remaining two are 12 and six years old. How many crowns will each of the boys receive?

Correct answer:

a =  500
b =  500
c =  400
d =  200

Step-by-step explanation:

$$\begin{gathered} k=\frac{1600}{15\cdot 2+12+6}=\frac{100}{3}=33\frac{1}{3}\doteq 33.3333 \\ a=k\cdot 15=\frac{100}{3}\cdot 15=\frac{100\cdot 15}{3}=\frac{1500}{3}=500 \end{gathered}$$

$b=a=500$

$c=k\cdot 12=\frac{100}{3}\cdot 12=\frac{100\cdot 12}{3}=\frac{1200}{3}=400$

$d=k\cdot 6=\frac{100}{3}\cdot 6=\frac{100\cdot 6}{3}=\frac{600}{3}=200$

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