Red candles

For Christmas, the Veselá family made gel candles. Father Veselý filled the entire jar with green gel. Mother Veselá filled one-sixth of the jar with green gel and the rest with red. The daughter used the same amount of green and red gel, and the son poured one-third of the jar with red gel and the rest with green. Which gel did they use up more?

Final Answer:

g =  2.3333
r =  1.6667
x = g

Step-by-step explanation:

$g=1+\frac{1}{6}+\frac{1}{2}+\frac{2}{3}=\frac{7}{3}=2\frac{1}{3}=2.3333$

$$\begin{gathered} r=0+\frac{5}{6}+\frac{1}{2}+\frac{1}{3}=\frac{5}{3}=1\frac{2}{3}\doteq 1.6667 \\ \text{ Verifying Solution: } \\ s=g+r=\frac{7}{3}+\frac{5}{3}=\frac{7+5}{3}=\frac{12}{3}=4 \end{gathered}$$

$$\begin{gathered} g>r \\ x=g \end{gathered}$$

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