Question

At one school, 3/7 of the boys went to a football game. Among these, 5/6 went to the game by bus. What is the percent of boys in this school who went to the game by bus?

a) 25%
b) 30%
c) 35%
d) 40%

Answer 1

To calculate the percentage of boys who went to the football game by bus, we multiplied 3/7 (those who went to the game) by 5/6 (those who took the bus) to get 5/14, which is approximately 35.71%. Rounding to the nearest whole number gives us 36%, but we choose the nearest available option, which is 35%, option (c).

Step-by-step explanation:

To find the percentage of boys who took the bus to the football game, we multiply the two given fractions and then convert the result to a percentage. First, 3/7 of the boys went to the game, and of those, 5/6 went by bus. Multiplying these two fractions:

(3/7) of the boys × (5/6) went by bus = (3×5)/(7×6) = 15/42
Next, we simplify 15/42, which is equal to 5/14. To convert this fraction to a percentage, we do the following calculation:

(5/14) × 100% = approximately 35.71%
Rounding this to the nearest whole number, we get 36%, which isn't an option in the provided choices. However, since the closest available answer is 35%, which is option (c), that would be the correct choice.