• 2021 December(E23) Math Question 48

    Ratios, Proportions, Percentages, Fractions

    - Percents & Fractions

    Percentages
    Choice J
    Three  test  scores=78,86,82Three\; test\; scores=78,86,82
    Three  scores  weighted=20%=0.2Three\; scores\; weighted=20\%=0.2
    Final  scores  weighted=40%=0.4Final\; scores\; weighted=40\%=0.4
    Final  scores=x=?Final\; scores=x=?

    So we have,

    78(0.2)+86(0.2)+85(0.2)+0.4x≥8678(0.2)+86(0.2)+85(0.2)+0.4x\geq 86
    246(0.2)+0.4x≥86246(0.2)+0.4x\geq 86
    246(0.2)+0.4x≥86246(0.2)+0.4x\geq 86
    49.2+0.4x≥8649.2+0.4x\geq 86
    x≥{36.8}{0.4} x\geq \frac\{36.8\}\{0.4\}
    ∴x≥92 \therefore x\geq 92

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