急~急~急~Maths 3题

2008-05-05 1:34 am
1. If 3a=4k, 7b=10k and 6c=5k, where k≠0, find a : b : c.

2.The total value of some $0.5, $1.5 and $3 stamps is $73. It is known that the numbersof these three kinds of stamps are in the ratio of 4 : 9 : 7.

(a) If there are 4k pieces of $0.5 stamps, express the numbers of $1.5 stamps and $3 stamps in terms of k.

(b) Hence, find the number of $0.5 stamps.

回答 (5)

2008-05-05 1:52 am
✔ 最佳答案
1.
If 3a=4k, 7b=10k and 6c=5k
then a = 4k/3 , b = 10k/7 , c = 6k/5
a:b:c = 4/3 : 10/7 : 6/5
a:b:c = 2/3 : 5/7 : 3/5
a:b:c = 70 : 75 : 63

2(a)
three kinds of stamps are in the ratio of 4 : 9 : 7
∴If there are 4k pieces of $0.5 stamps
The number of $1.5 stamps and $3 stamps are 9k and 7k respectively

(b)
total value of some $0.5, $1.5 and $3 stamps is $73
∴(0.5)(4k) + (1.5)(9k) + (3)(7k) = 73
36.5k = 73
k = 2

∴the number of $0.5 stamps = 2(4) = 8
2008-05-05 2:05 am
1ans 15:14:24通分=20k慢慢計

2 ans

a,y,x$0.5, $1.5 and $3 stamps
0.5x+1.5y+ 3a=73
x+y+a=20

解方程有排計
參考: 我
2008-05-05 2:02 am
1.
a=4/3k b=10/7k c=5/6k
a:b:c
=4/3:10/7:5/6
=(4/3:10/7:5/6)*42
=56:60:35

2.
a.
4k*0.5+9k*1.5+7k*3=73
2k+13.5k+21k=73
36.5k=73 k=2
$1.5 stamps=9k=18 pieces
$3 stamps=7k=14 pieces

b.
k=2
4k=8
$0.5 stamps=8 pieces
2008-05-05 1:48 am
Can you say Chinese...............=.=?


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