数学初一比例应用题英文

Question

A sum of money was shared among 3 persons A, B and C. A received 1/4 of the sum while B and C shared the remainder in the ratio 3:2. Find the ratio in which the sum was shared among A, B and C.​

Answer 1

A = 1/4 

B C = 3/4

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理解：A 拿了 1/4 的钱，B和C以 3 : 2 平分剩下的钱(3/4)。

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第一步：把分数变成整数，也就是变百分比

(1/4) x 100 = 25

(3/4) x 100 = 75

A拿了 25 的钱，B和C以 3 : 2 平分 75 的钱

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第二步：找出 B 和 C 各种平分的钱

B : C = 3 : 2

总共比例：3 + 2 = 5

1 比例的钱：75 / 5 =15

B：3 x 15 = 45

C：2 x 15 = 30

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知道了 B 拿了 45，C 拿了30。

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第三步：A B C 的比例

A : B : C 

= 25 : 45 : 30  [除5约减]

=5 : 9 : 6  [答案]

Answer 2

A:1/4

B:(1-1/4)*3/(3+2)=3/4*3/5=9/20

C:(1-1/4)*3/(3+2)=3/4*3/5=6/20=3/10

Answer 3

Let this money be x, B shares 3t, then C shares 2t, A receives x/4, and it is known that 3t+2t=3x/4, that is, x=20t/3,So A received 5t/3, A: B: C=5/3:3:2=5:9:6