Sally wants to start a small business. She plans to sell snack packs by re-packing cookies and coffee sachets. Cookies come in packs of 10, while 3-in-1 coffee sachets come in packs of 12. What is the smallest number of packs for each item should Sally buy if she wants to have packs with 1 cookie and 1 coffee sachet?

She needs 6 packs of cookies and  5 packs of coffee sachets.

Step-by-step explanation:

Cookies: come in packs of 10

Coffee sachets: come in packs of 12.

Sally wants to sell them in groups of 1 cookie and 1 coffee sachet, then we need to find a common multiple of 10 and 12. (the smallest one in this case).

To find the smallest common multiple, first let's find the largest common factor between 10 and 12.

If we write the numbers as a product of prime numbers, we have:

10 = 2*5

12 = 2*3*3

The only common factor is 2.

Then the smallest common multiple between 10 and 12 is equal to the product of 10 and 12 divided by the largest common factor between them, in this case is 2.

M = 10*12/6 = 60

Now to find the number of packages of each thing that she must buy, we need to divide 60 by the number of elements in each pack.

Cookies: 10 per pack

60/10 = 6

She needs 6 packs of cookies

Coffe: 12 per pack

60/12= 5

She needs 5 packs of coffee sachets.

b

step-by-step explanation:

it would rotate about 180 degrees.