Page 135 - NUMINO Challenge_D2

Type 15 -2 Give and Take

After three people, A, B, and C give and take marbles in the order as
shown below, each of them have 40 marbles. How many marbles did
each person have in the beginning?

A gives B and C as many marbles as B and C each have.
B gives A and C as many marbles as A and C each have.
Finally, C gives A and B as many marbles as A and B each have.

1 After C gave A and B as many marbles as A and B each had, all three
people now have 40 marbles each. How many marbles did A, B, and C
each have before C gave A and B as many marbles as A and B each had?

2 Complete the table below by working backwards.

Step Number of Marbles
ABC
Last step 40 40 40
Before step 3
Before step 2
Before step 1

3 How many marbles did each person have in the beginning?

132 NUMINO Challenge D2