Jenny had some fiction and non-fiction books to sell. She had 160 more fiction books than non-fiction books.After selling half of her fiction books and half of her non- fiction books, she had 3 times as many fiction books as non-fiction books. How many books did Jenny have at first?

The question above is actually an over simplified version of the concept “more than/less than” usually tested in primary 5 and primary 6 with fractions and percentages. Solving such questions requires the use of a comparison model, redrawn in stages to help a student work towards her answer.

If your child had some difficulty doing the above question, you may want to expose him/her to similar questions such as the ones we have below.

Clone 1:

John has 360 more cookies than cakes.

He sold half of the cookies and cakes.

As a result, the number of cookies became thrice as many as the number of cakes.

How many cookies did John have at first?

Click here to see question and answer!

Clone 2:

John has some marbles.

Mary has 120 more marbles than John.

John and Mary gave away a third of their marbles.

As a result, the number of marbles Mary had became twice as many as the number of marbles John had.

How many marbles did they have in total at first?

Click here to see question and answer!

Clone 3:

Teddy had some beads.

He had 660 more beads than Alice.

He gave 20 beads to John.

After which, both Teddy and Alice proceeded to give 1/4 of their total number of beads away.

As a result, Teddy had thrice as many beads as Alice in the end.

How many beads did both Teddy and Alice have altogether in the end?

Click here to see question and answer!

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