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.

Question

Haylie Moses

Mathematics

10 June, 05:13

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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Answers (1)

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Tony Macias · Answer 1

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