At the start of the football game, there were 640 fans in the stadium. It began to rain during halftime, so 10% of the fans went home. During the 3rd quarter of the game, the visiting team scored five touchdowns, so 25% of the remaining fans went home. How many fans were in the stadium after the 3rd quarter?

Question

Mathematics

Savanna Stokes

21 June, 02:31

At the start of the football game, there were 640 fans in the stadium. It began to rain during halftime, so 10% of the fans went home. During the 3rd quarter of the game, the visiting team scored five touchdowns, so 25% of the remaining fans went home. How many fans were in the stadium after the 3rd quarter?

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Answers (1)

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Shayna Villegas · Answer 1

The number of fans remaining after the 3rd quarter=432 fans

Step-by-step explanation:

Initial number of fans in the stadium=640

The number that went home by halftime=10% of Initial number = (10/100) * 640=64 fans

Remaining fans=Initial number of fans-the number that went home

Replacing;

Remaining fans = (640-64) = 576 fans

At 3rd quarter=25% of remaining fans left = (25/100) * 576=144 fans

At 3rd quarter 144 fans also left

The remaining at 3rd quarter = (Remaining fans at halftime-Fans that left at 3rd quarter)

(576-144) = 432 fans

The number of fans remaining after the 3rd quarter=432 fans