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F.1 Maths (Ratio & Rate) 即日!!! Thanks a lot!!(1)

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Find the ratio a:b:c 1. b:a =7:4,b:c=2:5 2. a:b=1/2:3/4,b:c=1/4:3/8 3. a/b=3,c=2b4. A,B and C invest $25 000,$50 000 and $75 000 respectively in a business. The profit is $54 000. They divide the profit in the ratio of their investments. (a) Find the ratio of their investments. (b) How much does... 顯示更多 Find the ratio a:b:c 1. b:a =7:4,b:c=2:5 2. a:b=1/2:3/4,b:c=1/4:3/8 3. a/b=3,c=2b 4. A,B and C invest $25 000,$50 000 and $75 000 respectively in a business. The profit is $54 000. They divide the profit in the ratio of their investments. (a) Find the ratio of their investments. (b) How much does each of them receive from the profit?

最佳解答:

1. a : b = 4 : 7 = 8 : 14 b : c = 2 : 5 = 14 : 35 so a : b : c = 8 : 14 : 35 2. a : b = 1 / 2 : 3 / 4 = 1 / 6 : 1 / 4 b : c = 1 / 4 : 3 / 8 so a : b : c = 1 / 6 : 1 / 4 : 3 / 8 = 4 : 6 : 9 3. a : b = 3 : 1 b : c = 1 : 2 so a : b : c = 3 : 1 : 2 4. (a) A : B : C = 1 : 2 : 3 (B) A : 1 / (1 + 2+ 3) x 54000 = 1 / 6 x 54000 = 9000 B : 2 / 6 x 54000 = 18000 C : 3 / 6 x 54000 = 27000

其他解答:

1.) b:a =7:4,b:c=2:5 a : b = 4 : 7 , b : c = 2 : 5 a : b = 8 : 14 , b : c = 14 : 35 ...[than we have the same B ] so....a : b : c = 8 : 14 : 35 2. )a:b=1/2:3/4,b:c=1/4:3/8 a : b = 2 : 3 , b : c = 2 : 3 .....[we make the a to be 2/4 .and. b to be 2/8 ] a : b = 4 : 6 , B : C = 6 : 9 ...[than we have the same B ] so....a : b : c =4 : 6 : 9 3.) a/b=3,c=2b a=3b , c = 2b so a : c = 3 : 2 if b = 1 than a = 3 [ since a= 3b ] and c=2 [since a : c = 3 : 2 ] so.... a : b : c = 3: 1 : 2 4.) A = 25000 B = 50000 C = 75000 [A] so a : b : c = 25000 : 50000 : 75000 = 1 : 2 : 3 [B] 1x+2x+3x = 54000 6x = 54000 x = 9000 A has 1x so he has 9000 B has 2x so he has 9000 X 2 = 18000 C has 3x so he has 9000 X 3 = 27000
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