Gabby, Winnie and Tiffany have equal number of stickers. Gabby packs all her stickers equally into 8 packets. Winnie packs all her stickers equally into 4 packets. Tiffany packs all her stickers equally into 10 packets. 6 packets of Gabby's stickers, 2 packets of Winnie's stickers and 7 packets of Tiffany's stickers add up to 624 stickers. How many stickers do they have altogether?

	Gabby	Winnie	Tiffany
Number of packets	8	4	10
Number of stickers	40 u	40 u	40 u
Number of stickers in each packet	5 u	10 u	4 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, 4 and 10 = 40

Number of stickers that each child has = 40 u

Number of stickers in 1 packet of Gabby's stickers = 40 u ÷ 8 = 5 u
Number of stickers in 1 packet of Winnie's stickers = 40 u ÷ 4 = 10 u
Number of stickers in 1 packet of Tiffany's stickers = 40 u ÷ 10 = 4 u

Number of stickers in 6 packets of Gabby's stickers, 2 packets of Winnie's stickers and 7 packets of Tiffany's stickers
= (6 x 5 u) + (2 x 10 u) + (7 x 4 u)
= 30 u + 20 u + 28 u
= 78 u

78 u = 624

1 u = 624 ÷ 78 = 8

Total number of stickers that they have
= 3 x 40 u
= 120 u
= 120 x 8
= 960

Answer(s): 960