Page 145 - NUMINO Challenge_M1

Answer
Key

The scale can also be balanced by adding one unit weight to each side.

1
11 1 2

In the same way, the scale will remain balanced if 2 unit weights are added to
each side.

11 1
11 1 2

There are now 6 unit weights, so no more weights can be added.

Since there is one method in and two methods in , there are 3 methods
to balance the scale.

Problem solving

1 The sum of the unit weights is 1+1+1+2+3=8, so the weight of each side must

be 4 to balance the scale.
On one plate, one 2 weight and two 1 weights must be placed, while on the other
plate, one 3 weight and one 1 weight must be placed.

1 1 3 or 3 1 1
12 21

2 Pouch A is 1 unit weight heavier than pouch B and 2 unit weights heavier than pouch

C. So, pouch A is the heaviest.
Sum of pouch B and 1 unit weight is equal to the sum of pouch C and 2 unit weights.
If one unit weight is removed from each side, the scale will still be balanced with

pouch B on the left side and pouch C and one unit weight on the right.

B CB C

Pouch B is heavier than pouch C, so C is the lightest pouch.

8 NUMINO Challenge M1