P5 Math: Splitting 2 Groups to become 4

A group of items is being split into 2 using fractions.
Each of the group is being sub-divided again using another pair of fractions.

Such questions require the student to recognise the repeated identity in order to ensure that the fractional split in each group is correctly processed.

These questions often appear in Paper 2 of P5 and P6 exams.
Calculator usage is allowed. 

A similar version of this question using percentages can also be found here.


At first, 1/3 of the fruits in the basket are red grapes, the rest are green grapes.
1/2 of the red grapes and 1/4 of the green grapes are sold.
150 red and green grapes were sold altogether.

How many grapes were there at the basket at the start?

If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 
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