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In a school, there are 4 more students in Class A than in Class B, and 4 more students in Class B than in Class C. As a reward for good behavior, a teacher decides to give out some sweets. Every student in class C got 5 more sweets than every student in Class B, and every student in Class B got 3 more sweets than every student in Class A. As it turns out, Class A got 10 more sweets than Class B, and Class B got 14 more sweets than Class C. How many sweets were given out in all?

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2 answers
  1. 668

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  2. A = number of students in class A

    B = number of students in class B

    C = number of students in class C

    SA = number of sweets given to each student in class A.

    SB = number of sweets given to each student in class B.

    SC = number of sweets given to each student in class C.

    A =B+4
    B =C +4
    SC = SB +5
    SB = SA +3
    AxSA = BxSB +10
    BxSB = CxSC +14
    A=18
    B=14
    C=10
    SA=13
    SB=16
    SC=21
    13+ 14x16+ 10x21 = 668

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