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about to only mathematics

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We have ,
` vecc=3veca+4vecb and 2 vecc=veca-3vecb`
`implies 2(3veca+4vecb)=veca-3vecb`
`implies 6veca+8vecb=veca-3vecb`
`implies 5veca=-11vecb`
`implies veca=(-11)/(5)vecb and vecb=(-5)/(11)veca`
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Knowledge Check

  • In a certain collage, the ratio of mathematics majors to English majors is 3:8. If in the following school year the number of mathematics majors increase 20%, and the number of English majors decrease 15%, what is the new ratio of mathematics majors to English majors?

    A
    `4:9`
    B
    `1:2`
    C
    `9:17`
    D
    `17:32`

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