Question
A bag contains (x + 7) small toys, (x + 12) medium toys,
and (x + 17) large toys. The probability of drawing a large toy from the bag is (4/9). Find the number of medium toys in the bag.Solution
According to question, (x + 17)/[(x + 7) + (x + 12) + (x + 17)] = 4/9 Simplify and solve for x: 9(x+17) = 4(3x + 36) 9x +153 = 12x+ 144 12x -9x = 153-144 3x = 9 x= 3 Therefore, number of orange balls in the bag = 3 + 12 = 15
Simplify:
6x + 8y - [(12x + 6y) - (4x + 3y) + 2y] - 4xIf 9x2 + 16y2 = 24xy, then find the ratio of ‘x’ and ‘y’, respectively.
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