【题目】六(3)班原有学生42人,其中男生占4/7,后来又转来女生若干人,这时男生与女生人数的比是6:5,现在全班有多少人?【分析与解】由题意得,六(3)班原有学生42人,其中男生占4/7,可求得原有男生42×4/7=24(人),因为六(3)班原有学生42人,其中男生24人,可得原来有女生42-24=18(人)。又因为转来新的女生后,男生和女生的人数比为6:5,这样我们可以列出方程求解。解:设后来转来x名女生。列方程得:24:(18+x)=6:5(18+x)×6=24×5 【Topic】 There are 42 students in six (3) classes, of which 4/7 are boys and then a few girls are transferred. At this moment, the ratio of boys to girls is 6: 5. Now how many people in the class? Analysis and Settlement] By title, six (3) original 42 students, of which boys accounted for 4/7, you can get the original boys 42 × 4/7 = 24 (people), because six (3) The original 42 students, of whom 24 were boys, available to girls 42-24 = 18 (people). And because after transferring a new girl, the ratio of boys to girls is 6: 5, so that we can list the equations. Solution: Let's turn to x girls. The column equation is: 24: (18 + x) = 6: 5 (18 + x) × 6 = 24 × 5