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1. We find the prime factors of five hundred
and ninety-five:
$595 = 5\times 7\times 17$, which are the prime factors.
2. We know that the jar holds enough oil to
fill 'granid' silver bottles:
volume of jar = volume of 'granid' bottles
3. If $1$ silver bottle holds enough oil to
fill 'ozvik' golden goblets then,
volume of $1$ silver bottle = volume of 'ozvik' golden goblets
Therefore, based on this knowledge, we can make the
statement:
volume of 'granid' silver bottles = volume of 'ozvik'$\times$
'granid' golden goblets.
If we look back to from step 2 we discover that:
volume of the jar = volume of 'ozvik'$\times$ 'granid' golden
goblets
4. We can work out that $1$ golden goblet holds enough oil to fill 'vaswik' crystal spoons: volume of $1$ golden goblet = volume of 'vaswik' crystal spoons
So this means that,
the volume of 'ozvik'$\times$ 'granid' golden goblets = volume of
'vaswik'$\times$ 'ozvik'$\times$ 'granid' crystal spoons
Using the information from step 3 we can figure out that,
the volume of the jar = volume of 'vaswik'$\times$ 'ozvik'$\times$
'granid' crystal spoons.
5. We also know something else important, the
oil in the jar lasted for $595$ days.
The oil in vaswik'$\times$'ozvik'$\times$'granid' spoons lasted for
$595$ days
If we look back at the information in step 4 we can discover
that,
vaswik'$\times$ 'ozvik'$\times$ 'granid' = $595$
vaswik'$\times$ 'ozvik'$\times$ 'granid' = $5\times 7\times 17$
The genie's words: 'granid', ozvik' and 'vaswik' stand for our numbers five, seven and seventeen.
Do you agree with Natasha's thinking and solution? Chris Milliken also worked hard on this problem and had a different strategy from Natasha. Do you see how and why your solution differs too Chris?
Have you solved this problem in a different way? We would like to hear from you.