# gmat-資充問題

Q1: Rasheed bought two kinds of candy bars, chocolate and toffee,

that came in packages of 2 bars each. He handed out 2/3 of the chocolate bars and 3/5 of the toffee bars. How many packages of chocolate bars did Rasheed buy ?

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• JAMES
Lv 6

Q1: Rasheed bought two kinds of candy bars, chocolate and toffee,

that came in packages of 2 bars each. He handed out 2/3 of the chocolate bars and 3/5 of the toffee bars. How many packages of chocolate bars did Rasheed buy ?

拉西買兩種糖果 巧克力和太妃糖 兩種糖都是兩支一包裝 他交出2/3的巧克力和3/5的太妃糖 請問拉希各買了幾包巧克力和太妃糖

條件1： Rasheed bought 1 fewer package of chocolate bars than toffee bars.

拉西買的巧克力比太妃糖少一包

條件2： Rasheed handed out the same number of each kind of candy bar.

拉西交出的兩種糖果數量一樣

答案是：兩個條件加起來才能成立。

我這句話也問題耶：chocolate and toffee, that came in packages of 2 bars each.

是一包裡面有coffee 兩條，還是一包裡面 1條coffee 跟 1條 tofee?

每種都是一包裝2支

答案:

假設太妃糖買了 X包 則巧克力是買了 X-1包

巧克力交出2/3 就是 (X-1)2/3

太妃糖交出3/5 就是 3/5 X

所以 2/3(X-1) = 3/5X

計算式 2X/3 - 2/3 = 3X/5

2X/3 - 3X/5 = 2/3

10X/15 - 9X/15 = 2/3

X/15 = 2/3

3X = 30

X = 10 ---> 太妃糖的包數

X-1=9 ---> 巧克力的包數

驗算: 9*2=18 * 2/3 = 12支 巧克力交出的數量

10*2=20 *3/5 = 12支 太妃糖交出的數量

符合條件設定!

2009-01-03 04:50:00 補充：

有不懂的地方要問喔 15是3和5的最大公約數 -2/3移到右邊後負的變正的