F.2 Maths Question (20 Points)

2014-02-23 1:12 am
Please use method of solving Linear Equation and use English to answer the question.

$8200 is divided among A, B and C.The ratio of A's share to B's share is 5:3, and the ratio of B's share to C's share is 4:3. How much does A get?

回答 (1)

2014-02-23 2:24 am
✔ 最佳答案
A+B+C = 8200

A:B=5:3=20:12

B:C=4:3=12:9

A:B:C = 20:12:9

Let A be 20k
B be 12k
and C be 9k

since A+B+C = 8200
20k+12k+9k=8200=41k

k=200

A = 20k = 4000
B = 12k = 2400
C = 1800

2014-02-22 18:27:13 補充:
4000 + 2400 + 1800 = 8200

A : B = 4000 : 2400 = 40 : 24 = 10 : 6 = 5 : 3

B : C = 2400 : 1800 = 24 : 18 = 4 : 3


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