Roshel, Yen and Min have equal number of stickers. Roshel packs all her stickers equally into 8 packets. Yen packs all her stickers equally into 6 packets. Min packs all her stickers equally into 4 packets. 7 packets of Roshel's stickers, 3 packets of Yen's stickers and 2 packets of Min's stickers add up to 225 stickers. How many stickers do they have altogether?

	Roshel	Yen	Min
Number of packets	8	6	4
Number of stickers	24 u	24 u	24 u
Number of stickers in each packet	3 u	4 u	6 u

All the stickers can be put into the packets without remainder.

All the children have equal numbers of stickers. 
Make the number of stickers that each child has the same. LCM of 8, 6 and 4 = 24

Number of stickers that each child has = 24 u

Number of stickers in 1 packet of Roshel's stickers = 24 u ÷ 8 = 3 u
Number of stickers in 1 packet of Yen's stickers = 24 u ÷ 6 = 4 u
Number of stickers in 1 packet of Min's stickers = 24 u ÷ 4 = 6 u

Number of stickers in 7 packets of Roshel's stickers, 3 packets of Yen's stickers and 2 packets of Min's stickers
= (7 x 3 u) + (3 x 4 u) + (2 x 6 u)
= 21 u + 12 u + 12 u
= 45 u

45 u = 225

1 u = 225 ÷ 45 = 5

Total number of stickers that they have
= 3 x 24 u
= 72 u
= 72 x 5
= 360

Answer(s): 360