25

the diagram below shows the percentages of people attending a football game who were supporters of either the home team or the visiting team.
the home team: 80%
visiting team: 20%
if the total number of people attending the game
was 64,000, how many people were supporters of the home team?

a, 12,800

b, 38,4000

c, 48,000

d, 51,200

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The answer is D. 51,200

Step-by-step explanation:

64000/x=100/80

(64000/x)*x=(100/80)*x       - we multiply both sides of the equation by x

64000=1.25*x       - we divide both sides of the equation by (1.25) to get x

64000/1.25=x

51200=x

x=51200

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation: