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Solve the word problem using unit rates.

Horatio can purchase 8 brackets for $5.92 at the hardware store. He also found 13 of the same brackets at the flea market for $9.23. Find the better deal by calculating the unit rates for each location. How much is saved per bracket by purchasing at the location with the better deal?

Hardware store unit rate =

Flea market unit rate =

Better deal =

How much is saved? =

Respuesta :

sqdancefan

Answer:

  • store unit rate: $0.74 per bracket
  • market rate: $0.71 per bracket
  • better deal: market
  • saved: $0.03 per bracket

Explanation:

The unit rate (amount per unit) is found by dividing the amount by the number of units.

For the hardware store, the unit rate (cost of each bracket) is ...

... $5.92 / (8 brackets) = $0.74 per bracket

For the flea market, the unit rate is ...

... $9.23 / (13 brackets) = $0.71 per bracket

The better deal is considered to be the deal with the lowest unit rate: the deal at the flea market, $0.71 per bracket.

The savings per bracket at the flea market rate is $0.74 - 0.71 = $0.03 (per bracket).

_____

Comment on "better deal"

The "better deal" depends on a number of factors. If the brackets at the flea market only come bundled as 13 for $9.23, the "better deal" will depend on the number of brackets needed.

If only 8 or fewer brackets are needed, then the hardware store will offer a savings of $3.31 over the flea market price. If 9 brackets are needed and the store only sells them in packages of 8, then the flea market deal is better by $2.61.

Travel cost and time, resale value of brackets not used, aesthetics, and other considerations may also come into play.

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