To prepare a cocktail, three types of wine A, B and C are mixed. The amount of wine A used is 4 times the amount of wine C used, and the amount of wine B used is 5 times the amount of wine C used. If the amounts of wine A, B and C are increased by 10%, 15% and 30% respectively,
a) find the percentage increase in the amount of cocktail,
b) what percentage of the cocktail is wine A?(Give the answer correct to 1 decimal place.)
怎樣可以清楚計算?
2007-01-03 7:29 pm
回答 (2)
2007-01-03 7:47 pm
✔ 最佳答案
Let the amount of wine C used be p mlTherefore, wine A used is 4p ml,
wine B used is 5p ml
a) Percentage increased in the amount of cocktail
= [4p(1+10%) + 5p(1+15%) + p(1+30%) - (4p+5p+p)] x 100% / (4p+5p+p)
=(1.1x4p + 1.15x5p + 1.3p) - (10p) x 100% / 10p
=(4.4+5.75+1.3) p - 10p) x 100% / 10p
=1.45p x 100% / 10p (p可以約簡)
=145%
b) % of Wine A
=4p(1+10%) /[4p(1+10%) + 5p(1+15%) + p(1+30%)] x 100%
=4.4p/10.45p x 100%
=42.1% (corr. to 1 d.p.)
2007-01-03 11:49:18 補充：
Sorrya) 題漏打了一點答案應該是: 14.5%
2007-01-03 11:52:01 補充：
b) 題寫過:% of Wine A=4p(1 10%) /[4p(1 10%) 5p(1 15%) p(1 30%)] x 100%=4.4p/11.45p x 100%=38.4% (corr. to 1 d.p.)
參考: myself
2007-01-03 7:42 pm
a) 15.5% increase
b) 38.1%
b) 38.1%
收錄日期: 2021-04-12 17:47:21
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