Go math 4 grade 5.2

Question

Ok this math comes w a stamp chart Germany 90 Sweden 78 japan 63 Canada 25 .ok problem Geri wants to put 6 stamps on some pages in her stamp book and 9 stamps on the other pages .explain how she could do this with the stamp set for Sweden.lm trying to help my child

Answer 1

So we want a multiple of 6 and a multiple of 9 whose sum is 78.

Make a table

# of pages with 6 stamps # of stamps accounted for # of stamps remaining divisible by 9

1 6 72 YES

2 12 66 NO

3 18 60 NO

4 24 54 YES

5 30 48 NO

6 36 42 NO

7 42 36 YES

8 48 30 NO

9 54 24 NO

10 60 18 YES

11 66 12 NO

12 72 6 NO

13 78 0 NO****

The rows marked with YES are viable options.

Notice the last row, there are NO pages that contain 9 stamps, despite the fact that 0 is divisible by 9, as

the problem states there MUST be at least one page containing 9 stamps

An algebraic solution does essentially the same thing