Josh needs to buy plastic spoons. Brand A has a box of 42 spoons for 2.37 . Brand B has a box of spoons for 3.57 .

Find the unit price for each brand. Then state which brand is the better buy based on the unit price.

1 answer

To find the unit price for each brand, we divide the total cost of each box by the number of spoons in that box.

Brand A:

  • Cost = $2.37
  • Number of spoons = 42

Unit price for Brand A: \[ \text{Unit Price A} = \frac{2.37}{42} \approx 0.05642857 \] Rounding to two decimal places: \[ \text{Unit Price A} \approx 0.0564 \text{ or } 5.64 \text{ cents per spoon} \]

Brand B:

  • Cost = $3.57
  • Number of spoons = 42 (assuming it also has 42 spoons as per the context of Brand A)

Unit price for Brand B: \[ \text{Unit Price B} = \frac{3.57}{42} \approx 0.085 \] Rounding to two decimal places: \[ \text{Unit Price B} \approx 0.0850 \text{ or } 8.50 \text{ cents per spoon} \]

Comparison:

  • Unit Price A: 5.64 cents per spoon
  • Unit Price B: 8.50 cents per spoon

Conclusion: Brand A is the better buy because it has a lower unit price.