Answer:
<h2>The least number of kites Marta can make without any supplies left over is 12.</h2><h2>She uses four packs for paper and only three packs for ribbons.</h2>
Step-by-step explanation:
Givens:
- Martha needs 1 piece of paper and 1 piece of ribbon.
- Paper is in packs of 3 pieces, and ribbon is in packs of 4 pieces.
If Martha needs 1 piece of paper and ribbon, then she need to use 4 packs of paper and 3 packs of ribbons, because when she uses one pack of paper, she use it all, but from the pack of ribbons, it remains some.
<h3>First pack.</h3>
From the first pack Marta has 3 papers and 4 ribbons. So, she uses all 3 papers, and 3 ribbons, and there remains 1 ribbons without use.
<h3>Second pack.</h3>
From the second pack, Marta uses 3 papers but only 2 ribbons, because she also uses the one ribbon that left from the first pack. So, from the second pack, she only uses 2 ribbons, and there are 2 ribbons left.
<h3>Third pack.</h3>
From the third pack, she again uses all three papers, but only 1 ribbon, so there is three ribbons left.
<h3>Fourth pack.</h3>
From the fourth pack she uses three papers agains, but she doesn't need a new pack of ribbons, because she has three from the third pack.
Now, specifically, the least common number refers to the least common multiple of 3 and 4, which is 12, because if we write down the multiples for both numbers, we have:
3, 6, 9, 12, 15, ...
4, 8, 12, 16, 20,...
As you can see, the least common number is 12.
Therefore, the least number of kites Marta can make without any supplies left over is 12.