SOLUTION: alyssa can sew 100 baby dresses in 4 weeks. Alyssa had already finished 25 when MAe joined her. If 200 baby dresses were sewed 2 and 1/3 weeks after MAe joined Alyssa, how many b

Question 97446: alyssa can sew 100 baby dresses in 4 weeks. Alyssa had already finished 25 when MAe joined her. If 200 baby dresses were sewed 2 and 1/3 weeks after MAe joined Alyssa, how many baby dresses can Mae sew in a week?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=number of baby dresses MAe sews per week
Alyssa sews at the rate of 25 baby dresses per week (100/4)
Together MAe and Alyssa sew at the rate of (x+25) dresses per week and in 2 1/3 weeks, they sewed 200-25 or 175 dresses which means that:
(x+25)*(7/3)=175 (note: 2 1/3=7/3)
multiply both sides by 3
7(x+25)=525 get rid of parens
7x+175=525 subtract 175 from both sides
7x+175-175=525-175 collect like terms
7x=350 divide both sides by 7
x=50--------------------------number of baby dresses MAe sews per week
CK
25 +(7/3)(25)+(7/3)(50)=200 multiply each term by 3
75+175+350=600
250+350=600
600=600

Hope this helps---ptaylor

RELATED QUESTIONS
If 9 women can sew 375 dresses in 8 weeks, calculate the time it will take 4 women to... (answered by solver91311)

If 18 workers sew 540 dresses in 6 weeks,how long would it take 12 workers to... (answered by richwmiller)

Every hour, Jennifer can sew 24dresses while her mother can sew only 20 dresses. how long (answered by stanbon)

Christine has six cocktail dresses. she needs to pack 4 of these dresses for her... (answered by ewatrrr)

I need help in aiding my daughter with working the following word problem: A fatory... (answered by scott8148)

After a sale, a store had taken in $105 more on its $ 59.50 dresses than on its $39.50... (answered by MathPro)

The owner of a small clothing company wants to create a mathematical model for the... (answered by CPhill)

Maggie is going to the mall with her friends and has $200 to spend from her birthday and... (answered by TimothyLamb)

A mother is 21 years older than her new born baby . How old will the baby be when her age (answered by rothauserc)