Question

Princess Anna decides to make a birthday cake for Queen Elsa’s birthday! Anna, Olaf, Kristoff and Sven all add a different ingredient. When the cake mix has been combined, there is 1/4 of the flour left over, 1/3 of the butter, 1/2 of the sugar and 5/8 of the eggs. Anna used the most of her ingredient and Olaf used the least of his. Kristoff used more than Sven. Who used the sugar?

Answer 1

To answer this you will consider that the person who used the most of their ingredient (Anna) has the least amount of ingredients left over. This would be the flour.

For Olaf, he used the least ingredients, so he would have the most left over which is 5/8 of the eggs.

Kristoff and Sven are left and Kristoff uses more, so he would have less left over (1/3). This is the butter.

This leaves Sven with the sugar.

Answer 2

Sven used Sugar.

Explanation:

The question gives the amount of each ingredient left after making the cake.

`(1)/(4)` = 0.25 - Flour

`(1)/(3)` = 0.33 - Butter

`(1)/(2)` = 0.50 - Sugar

`(5)/(8)` = 0.625 - Eggs

It says that Anna used most of her ingredients, this means she has used the ingredients which has the least amount left. The lowest out of the fractions above is
`(1)/(4)`. So Anna used Flour.

Also Olaf used the least of his, meaning he has most of his ingredient left. Highest value in the list is
`(5)/(8)`. So Olaf used Eggs.

Kristoff used more than Sven, means that Kristoff has less of his ingredient left compared to Sven. So lower value out of the values left goes to Kristoff, that is
`(1)/(3)`. So Kristoff used Butter.

So we are left with Sugar and Sven.

So Sven used Sugar.