c, d four numbers in proportion thena : b : : c : dora/b = c/di.e.ad × bcsame is the case with x : 3 : : 12 : xthen ad = x × x = x²and bc = 3 × 12 = 36so x² = 36x = ± 6taking +ve values x = 6similar with y² = 18 × 8y² = 9 × 2 × 8 = 9 × 16y = 3 × 4 = 12 (+ ve value)Let flour = f , sugar = s and raisins = rf + s + r = 550 g.f = 2ss = 3r/2r = 2s/3using above values inf + s + r = 550 g.......
F + S + R = 550 g
since F = 2S , and S = 3/2R (R = 2/3 S then)
so, substitute them (for example) to S.
F + S + R = 550 g
2 S + S + 2/3 S = 550 g
11/3 S = 550 g
S = 550*3/11 g
S = 150 g
now find the flour amount,
F = 2 S
F = 2 * 15 g
F = 300 g
thx
