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26 September, 22:30

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.

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  1. 27 September, 00:10
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    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=2*2*2

    10=2*5

    LCM=2*2*2*5=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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