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1) At a concert, there are 3 times as many women as men. 3/5 of the men and 1/3 of the women wear glasses. There are 120 more women wearing glasses than men wearing glasses. How many people are at the concert.


2) The area of a rectangular invitation card is 3/10 square foot. Given that the length of the card is 4/5 foot, find its perimeter.

Verified Answer :

apologiabiology
  1. w=3m
    1/3w=m
    3/5m+1/3w=glasses

    3/5m+120=1/3w
    1/3w=m
    3/5m+120=m
    subtract 3/5m frm both sides
    120=2/5m
    multiply both sides by 5/2 to clear fraction
    600/2=10/10m
    m=300
    3m=w
    3(300)=w
    w=900
    900+300=1200
    there were 1200 people at concert


    2.
    so area =legnth times width
    3/10=4/5 times x
    multiply both sides by 5/4 to clear fraction
    15/40=x
    3/8=width
    perimiter=2width+2legnth
    perimiter=2(3/8)+2(4/10)
    p=6/8+8/10
    find  lest commo multiply
    8=222
    10=25
    LCM=2    225=40
    6/8=30/40
    8/10=32/40
    p=30/40+32/40
    p=62/40
    perimiter=1 and 22/40 or
    1 and 11/20 feet

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