Question

You have 42 blue balloons and 35 whiteballoons to make balloon arrangements. Eacharrangement must be identical. What is thegreatest number of arrangements you canmake using every balloon?18.

Answer 1

To determine the number of identical arrangements you can make using every ballon we need to find the gratest common factor of the numbers given, then, let's find the factors for each number.

The factors for 42 are 1, 2, 3, 6, 7, 14, 21 and 42.

The factors for 35 are 1, 5, 7, 35

Comparing the factors we notice that the greatest common factor is 7; therefore, you can make 7 identical arrangements.