Red candles

For Christmas, the Veselá family made gel candles. Father Veselý filled an 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. The son poured one third of the jar with red gel and the rest with green. Which colour gel did they use more of in total?

Final Answer:

g =  2.3333
r =  1.6667
x = g

Step-by-step explanation:

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

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

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

Try another example