Sally wants to start a small business . she plans to sell snack packs by re packing cookies and coffee sachets. if 1 box of coffee has 6 sachets while 1 box of 3in1 coffee has 10 sachets. Question:
How many boxes of cookies and coffee sachers shoud she buy if she wants to have one cookie and one coffee sachet per pack without having unpacked sachet/s of any of the two items at the end? How did you get it? show you complete solution.

5 boxes of coffee

3 boxes of 3in1 coffee

Step-by-step explanation:

1 box of coffee has 6 sachets

1 box of 3in1 coffee has 10 sachets.

How many boxes of cookies and coffee sachers shoud she buy if she wants to have one cookie and one coffee sachet per pack without having unpacked sachet/s of any of the two items at the end?

Find the lowest common multiple of 6 and 10

6 = 12, 18, 24, 30, 36, 42, 48, 54, 60

10 = 20, 30, 40, 50, 60

The lowest common multiple of 6 and 10 is 30

Therefore,

1 box of coffee = 6 sachet

x box of coffee = 30 sachet

1 : 6 = x : 30

1/6 = x/30

1*30 = 6*x

30 = 6x

x = 30/6

= 5

x = 5 boxes of coffee

1 box of 3in1 coffee = 10 sachets.

x boxes of 3in1 coffee = 30 sachet

1 : 10 = x : 30

1/10 = x/30

1*30 = 10*x

30 = 10x

x = 30/10

= 3

x = 3 boxes of 3in1 coffee

She should buy 5 boxes of coffee and 3 boxes of 3in1 coffee if she wants to have one cookie and one coffee sachet per pack without having unpacked sachet/s of any of the two items at the end.