Re: [計量] 請問一題數學
※ 引述《ranch825 (牧箴)》之銘言：
: A manufracturer packages soap powder in containers of three different sizes. The amount of soap powder in a full large container could fill exactly 3 of the medium containers. If an equal number of small and large containers are to be filled with the amount of soap powder that would fill 90 medium cintainers, how many small containers will be filled?
: (A)25
: (B)27
: (C)30
: (D)45
: (E)54
: Ans:(A)25
: 麻煩幫忙一下><謝謝!!!
原來的題目應該是長這樣的
A manufacturer packages soap powder in containers of three different sizes.
The amount of soap powder in a full large container could fill exactly 3 of
the medium containers or exactly 5 of the small containers. If an equal
number of small and large containers are to be filled with the amount of soap
that would fill 90 medium containers, how many small containers will be
filled?
A. 25
B. 27
C. 30
D. 45
E. 54
Since L = 3M = 5S, L:M = 3:1 and S:M = 3:5.
Let k be a positive integer, then 90M = k(L+S).
This implies that 90M = k(3M+3/5 S), i.e., 90 = 18/5 k
Then we have k = 25.
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