Question

there are 100 marbles in a bag. 15 are green, 33 are blue, 17 are red, 24 are yellow, and 11 are orange. true or false: 57% of the marbles are blue and yellow.

Explanation:

Step1: Calculate the number of blue and yellow marbles

Blue marbles: 33, Yellow marbles: 24. Total of blue and yellow: \(33 + 24=57\)

Step2: Calculate the percentage of blue and yellow marbles

Total marbles = 100. Percentage \(=\frac{57}{100}\times100\% = 57\%\)
But the statement says "57% of the marbles are blue and yellow". However, there are other - colored marbles (green, red, orange). The percentage of blue and yellow marbles is \(57\%\) of the total marbles, not \(57\%\) of the non - green, non - red, non - orange marbles. So the statement is False.

Answer:

False