1997 AMC 8 第 13 题

先试着解答 1997 AMC 8 第 13 题,然后核对你的答案与精心整理的解答,解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 1997 AMC 8 解答,或核对答案。

所有题目均经美国数学协会(MAA)官方合法授权使用。

13.

三袋软糖分别有 2626,2828 和 3030 颗。这三袋中黄色软糖所占比例分别为 50%50\%、25%25\% 和 20%20\%。把三袋糖全部倒入一个碗中,黄色软糖占碗中所有软糖的比例最接近下列哪一个?
Three bags of jelly beans contain 26,26, 28,28, and 3030 beans. The ratios of yellow beans to all beans in each of these bags are 50%,50\%, 25%,25\%, and 20%,20\%, respectively. All three bags of candy are dumped into one bowl. Which of the following is closest to the ratio of yellow jelly beans to all beans in the bowl?
31%31\%
32%32\%
33%33\%
35%35\%
95%95\%
答案:A
知识点:百分数平均数
小提示:
用黄色软糖总数除以软糖总数
Divide total yellow beans by total beans
大提示:
先求每袋中黄色软糖的颗数
Find the number of yellow beans in each bag
解答:
第一袋中有 26⋅0.5=26÷2=13 26 \cdot 0.5 = 26 \div 2 = 13 颗黄色软糖,第二袋中有 28⋅0.25=28÷4=7 28 \cdot 0.25 = 28 \div 4 = 7 颗黄色软糖,第三袋中有 30⋅0.2=30÷5=6 30 \cdot 0.2 = 30 \div 5 = 6 颗黄色软糖。
黄色软糖总数为 13+7+6=26, 13 + 7 + 6 = 26\text{,}软糖总数为 26+28+30=84。 26 + 28 + 30 = 84\text{。}黄色软糖所占的百分比为 2684⋅100%=1342⋅100% \dfrac{26}{84} \cdot 100 \% = \dfrac{13}{42} \cdot 100 \% ≈30.9%。 \approx 30.9 \%\text{。}
所以正确答案是 A。
There are 26⋅0.5=26÷2=13 26 \cdot 0.5 = 26 \div 2 = 13 yellow jelly beans in the first bag, 28⋅0.25=28÷4=7 28 \cdot 0.25 = 28 \div 4 = 7 yellow jelly beans in the second bag, and 30⋅0.2=30÷5=6 30 \cdot 0.2 = 30 \div 5 = 6 yellow jelly beans in the third bag.
The total number of yellow jelly beans is 13+7+6=26 13 + 7 + 6 = 26 and the total number of jelly beans is 26+28+30=84. 26 + 28 + 30 = 84. The ratio of yellow jelly beans to all the beans is 2684⋅100%=1342⋅100% \dfrac{26}{84} \cdot 100 \% = \dfrac{13}{42} \cdot 100 \%≈30.9%. \approx 30.9 \%.
Thus, A is the correct answer.
LIVE by Po-Shen Loh
LIVE项目

LIVE直播课程

Self-Paced录播课程

启明星Star计划

奖学金项目

关于我们

罗博深是谁?

邮件联系

订阅英文简报

加入我们

申请明星导师

For a more Thought Full world.

© 2026 Expii, Inc.