GMAT
题目
At a certain automobile dealership that sells only Tajimas and Franks, the number of nonhybrid Tajimas is 35 less than 3 times the number of hybrid Tajimas. 205 total Tajimas are currently owned by the dealership. If the ratio of hybrid Tajimas to nonhybrid Franks is 5:4 and there are 280 total automobiles owned by the dealership, how many hybrid Franks are there?
解析
非混动田岛车（NHT）= 3×混动田岛车（HT）-35
\( \text{NHT} = 3*\text{HT}-35 …………(1) \)
\( \text{HT}+\text{NHT}=205 …………(2) \)
将（1）中NHT的表达式代入（2）：
\( \text{HT}+3(\text{HT})-35=205 \)
\( 4*\text{HT}=205+35 \)
\( \text{HT}=240/4=60 \)，且\( \text{NHT}=205-60=145 …………(3) \)
汽车总数=280
弗兰克车数量（F）=280-205=75
\( \text{HT}:\text{NHF}=5:4 \)
\( \text{HT}/\text{NHF}=5/4=60/\text{NHF} …………（由(3)知，\text{HT}=60） \)
\( \text{NHF}= (60*4)/5 \)
\( \text{NHF}=48 \)
\( \text{HF}= \text{F}-\text{NHF}=75-48=27 \)
答案：B
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