Thks Edward, yr working is very clear, appreciate your help.

Btw, the ans.. Is correct. My Daughter was asking why 270?

Quote by: echeewhHey <awonder>,

Appreciate you can also help provide answer key next time for easier verification.

Following is my worked solution:

<before>

P |---------|<- 360 ->|

A |---------|

<process>

P gave away (1/4)

A gave away (2/3)

From the equal qtys in the models of P, A above, split P into 4 parts and A into 3. As both have same qty, find lowest common multiple (LCM) of 4, 3 , i.e. 12.

Hence, <before>

P --> 12u + 360

A --> 12u

<after>

P --> (3/4) × (12u + 360) = 9u + 270

A --> (1/3) × (12u) = 4u

Given that there were 764 dolls left, we have ...

9u + 270 + 4u --> 764

13u --> 764 - 270 = 494

1u --> 494 ÷ 13 = 38

At first,

P --> 12u + 360

--> (12 × 38) + 360 = 816

A --> 12u

--> 12 × 38 = 456

Total (at first) = 816 + 456 = 1272

Total given away:

1272 - 764 = **508**

======

Trust this helps.

Do let me know again if this is different from your <anskey> or if there's further clarification.

Cheers,

Edward