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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.

Sagot :

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=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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