Q: 3 w from the g in the b?

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goldilocks and the 3 bears

3 Bears in the Goldilocks Story

B/G = 4/3 so 3B = 4G B+G = 21 Multiply by 3: 3B+3G = 63 But 3B = 4G so 4G+3G = 63 ie 7G = 63 so that G = 9 So B+G=21 means B = 12 3 more boys so B' = 12+3 = 15 1 more girl so G' = 9+1 = 10 So new ratio = B'/G' = 15/10 = 3/2 or 3 to 2

154

Let's say that s is the total number of students, b is the number of boys, g is the total number of girls, n is the number of non-blonde girls, and e is the number if blonde girls. We know that s = b + g, b = g, g = n + e, e = g/3, and n = 10. Substituting for b in the first equation gives us s = g + g = 2g Then we substitute for n and e in the third equation and solve for g: g = g/3 + 10 g - g/3 = 10 g - (1/3)g = 10 (2/3)g = 10 g = 10 x (3/2) = 15 Finally, solve for s: s = 2g = 2 x 15 = 30

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