Page 72 - NUMINO Challenge_A2
P. 72
The Original Number of Balls
After some balls are moved in the steps shown below, the number of
balls in all three boxes A, B, and C are the same. Complete the table
and find the number of balls in boxes A, B, and C at the start.
Move 6 balls from Box C to Box A. Box A Box B Box C
Move 3 balls from Box A to Box B.
Move 4 balls from Box B to Box C. 12 16
12 12 12
In a Nutshell Finding the Difference When Adding and Removing
When the part marked with on the first bar is added to the
second bar, the length of the first bar is reduced by the length of
the part marked with , and the length of the second bar is
increased by the same length. Therefore, the difference between
the two bars is twice the length of the part marked with .
Difference ( 2)
1st Bar 2nd Bar 1st Bar 2nd Bar
69Communication
After some balls are moved in the steps shown below, the number of
balls in all three boxes A, B, and C are the same. Complete the table
and find the number of balls in boxes A, B, and C at the start.
Move 6 balls from Box C to Box A. Box A Box B Box C
Move 3 balls from Box A to Box B.
Move 4 balls from Box B to Box C. 12 16
12 12 12
In a Nutshell Finding the Difference When Adding and Removing
When the part marked with on the first bar is added to the
second bar, the length of the first bar is reduced by the length of
the part marked with , and the length of the second bar is
increased by the same length. Therefore, the difference between
the two bars is twice the length of the part marked with .
Difference ( 2)
1st Bar 2nd Bar 1st Bar 2nd Bar
69Communication