Ratio problem.?
There is a football match. The ration of home to away fans is 13:2. There are 13,200 more home fans than away. How many total fans are there? (Show working out)
回答 (4)
(Home fans) : (Away fans) = 13 : 2
Let 13k and 2k be the numbers of home fans and away fans respectively.
13k - 2k = 13,200
11k = 13,200
k = 1,200
Total number of fans
= 13×1,200 + 2×1,200
= 18,000
Let the no of fans be x
THEN , no of home fans = x+ 13200
( x + 13200 ) /x = 13/2
CROSS MULTIPLY
13x = 2x + 26400
11x = 26400
x = 2400
Fans = 2400 Home fans = 15600 Total fans = 18000 ANSWER
Let x = away fans
Then
13/2 = ( x + 13200)/x
2x + 26400 = 13x
26400 = 11x
x = 2400
Total numbers of fans = 2400 x 2 + 13200
= 4800 + 13200
= 18000
Set up equivalent proportions
13 / 2 = 13,200 + x /x
cross multiply to get 13x = 26400 + 2x
11x = 26400
x = 2400
where x is the number of away fans so there are 15600 home fans
that ratio is 15600:2400 which is equal to 13:2
收錄日期: 2021-04-18 15:12:13
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