Posted by **Crystal** on Saturday, January 12, 2013 at 7:42pm.

A clothing store ordered 300 sweaters and sold 20 of them at $100 the first week. The second week, the selling price was lowered by $10, and 40 sweaters were sold. In the third week. The selling price was lowered by another $10, and 60 sweated were sold. If the pattern continues,

A) how many weeks did it take to sell all sweaters?

B) what was the selling price in the final week?

For a) I started off by writing it out:

Number of sweaters each week: 300, 280, 240, 180

I got stuck because they don't reduce by a constant common ratio or common difference. How would you figure out this type of question?

Thanks in advance!

- Math -
**Steve**, Saturday, January 12, 2013 at 7:51pm
Week 1: 20 sweaters at $100 = $2000

Week 2: 40 sweaters at $90 = $3600

Week 3: 60 sweaters at $80 = $4800

Week 4: 80 sweaters at $70 = $5600

Week 5: 100 sweaters at $60 = $6000

100+80+60+40+20 = 300 sweaters sold in 5 weeks

A) Took 5 weeks

B) $60 a sweater in the final week

- Math -
**Crystal**, Saturday, January 12, 2013 at 10:11pm
Ohhhh. Thank you ! I was going about it backwards!

- Math -
**Anonymous**, Sunday, February 1, 2015 at 7:56pm
Thanks for the answer

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