Q. In a bag full of small balls, 41 of these balls are green, 81 are blue, 121 are yellow and the remaining 26 white. How many balls are blue?
Calculate total number of balls: Calculate the total number of balls in the bag by considering the fractions of green, blue, and yellow balls, and the known quantity of white balls.Let the total number of balls be T.We know that 41 are green, 81 are blue, 121 are yellow, and the remaining 26 are white.So, (41)T+(81)T+(121)T+26=T
Find common denominator: Find a common denominator for the fractions to combine them.The common denominator for 4, 8, and 12 is 24.So, (246)T+(243)T+(242)T+26=TCombine the fractions: (246+243+242)T+26=T(2411)T+26=T
Isolate term with T: Isolate the term with T on one side to solve for T.(2411)T+26=TSubtract (2411)T from both sides to get:26=T−(2411)T26=(2424)T−(2411)T26=(2413)T
Solve for T: Solve for T by multiplying both sides by the reciprocal of (2413).T=26×(1324)T=2×24T=48So, there are 48 balls in total.
Calculate number of blue balls: Now that we know the total number of balls, calculate the number of blue balls.(1/8) of 48 is the number of blue balls.(1/8)×48=6
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