Intermath | Workshop Support
Melanie is shopping for work clothes. She has found a dress for $75 and a two-piece suit for only $60. She does not have enough money for both, so she must choose only one. Of course, both are "dry clean only." If her dry cleaner charges $4.50 for a dress or $3 for each piece of a suit, which will be a better deal in the long run? How many times will she have to dry clean the purchased item before it is the better deal?
Melanie is shopping and she wants to buy an outfit that will have to be dry cleaned. She finds a dress and a two-piece suit. The dress is 75.00 and the suit is 60.00. To dry clean the dress, it will cost 4.50 each time and to dry clean the suit will cost 6.00 each time. Which outfit is a better deal in the long run? How many times will she have to clean the item she purchases in order for it to actually be the better deal?
Plans to Solve/Investigate the Problem
I planned to write out my answers on a piece of notebook paper. I thought about simply adding the dry cleaning cost each time to each outfit.
Investigation/Exploration of the Problem
Here is what I discovered:
Cost of dress + dry cleaning Cost of suit + dry cleaning
ONCE 79.50 66.00
TWICE 84.00 72.00
THRICE 88.50 78.00
FOUR TIMES 93.00 84.00
FIVE TIMES 97.50 90.00
SIX TIMES 102.00 96.00
SEVEN TIMES 106.5 102.00
EIGHT TIMES 111.00 108.00
NINE TIMES 115.50 114.00
TEN TIMES 120.00 120.00
ELEVEN TIMES 124.50 126.00
So, after eleven dry cleanings, I found that the 75.00 dress as compared to the 60.00 suit is the better deal.
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