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Ultimate Math Quiz:


Jim weighs 30 pounds less than Tom, and together they weigh 210 pounds. Let n = Tom's weight in pounds.


A class of 19 pupils has five more girls than boys. Let n = the number of boys.


Two sides of a triangle are equal in length and double the length of the shortest side. The perimeter of the triangle is 36 inches.

Verified Answer :

mariangel
  1. Let n = Tom's weight in pounds.
    m=    Jim's weight in pounds.

    m=n - 30
    m+n=210

    We solve this by substitution:
    (n - 30)+n=210
    2n-30=210
    2n=210+30
    2n=240
    n=120 pounds weighs Tom
    m=120-30=90 pounds weighs Jim


    2. Let n = the number of boys.
    g = the number of girls.

    n+g=19
    g=n+5

    By substitution:
    n+(n+5)=19
    2n+5=19
    2n=19-5
    2n=14
    n=14:2
    n=7 boys
    g=7+5=12 girls

    3. Let n = the shortest side of the triangle
    each of the two sides that are equal in length=2n

    The perimeter=n+2n+2n=36 inches
    5n=36
    n=7.2 inches is the shortest side of the triangle
    2*7.2=14.4 inches is each of the two sides that are equal in length

Answer: . Let n = Tom's weight in pounds.

m=Jim's weight in pounds.


m=n - 30

m+n=210