Page 133 - NUMINO Challenge_A2

Answer
Key

12. Give and Take

Investigate Moving Marbles The Original Number of Balls

First, find the difference of the number of Move 6 balls from Box C Box A Box B Box C
marbles in the two bags. Then, move half of the to Box A. 9 13 14
difference from the bag with more marbles to 15 13 8
the bag with less marbles. Move 3 balls from Box A 12 16 8
to Box B. 12 12 12

Move 4 balls from Box B
to Box C.

The original number of balls in Boxes A, B, and
C are 9, 13, and 14, respectively.

Type Study Sharing Marbles
1 There are 50 marbles altogether. The marbles should be divided equally, so Daniel and
Julie can each have 50 2 25 marbles.

2 The difference between the number of marbles that the children have is twice the
number of marbles Daniel will give Julie. Therefore, Daniel should give 8 2 4 marbles
to Julie.

3 Daniel has 25 4 21 marbles and Julie has 25 4 29 marbles.

Problem solving

1 The difference between the number of chocolate bars Mike and Susan have is 50 38 12

bars. The number of chocolate bars that Mike should give to Susan is the difference divided
by 2. Therefore, Mike should give 12 2 6 bars to Susan.

28 NUMINO Challenge A2