Answer:
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.
