Question

Marta uses 1 piece of paper and 1 piece of ribbon to make kites. The paper comes in packs of 3 pieces and the ribbon comes in packs of 4 pieces. What is the least number of kites Marta can make without any supplies left over?

Answer 1

You must find LCM
because we should find a number same for both 3 and 4
Lcm of 3 and 4=12
Therefore the least number of kites she can make is 12

Answer 2

Answer:

The least number of kites Marta can make without any supplies left over is 12.

She uses four packs for paper and only three packs for ribbons.

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.

First pack.

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.

Second pack.

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.

Third pack.

From the third pack, she again uses all three papers, but only 1 ribbon, so there is three ribbons left.

Fourth pack.

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.