The Great Aim of Education is not Knowledge but Action - Herbert Spencer
840 stickers were given to 42 children. 2/3 of the children were boys, and each of them received the same number of stickers. Each girl received twice as many stickers as each boy. How many stickers did each girl receive?
Solution: 42 children, 2/3 boys, that means: 2/3(42) = 28 boys & 14 girls
Let S = the # of stickers received by boys
Let 2S = the # of stickers receive by girls
840 = 28S + 14(2S)
840 = 28S + 28S
840 = 56S
840/56 = 56S/56
S = 15
Each girl received 30 stickers.
Another Solution: 28X + 14(2X) = 840
28X + 28X = 840
56X = 840
X = 15
2X = 30
Answer: Each girl received 30 stickers.