Final answer:
To determine whether or not each wand purchase has the same price per wand, divide the total cost of each purchase by the number of wands. The price per wand for glitter wands is $6.25. Calculations show that the price per wand for each purchase is different from the price per wand for glitter wands.
Step-by-step explanation:
To determine whether or not each wand purchase has the same price per wand as glitter wands, we need to divide the total cost of each purchase by the number of wands in that purchase. Based on the information given, glitter wands were purchased for a total of $50 and we know that there are 8 of them. So, the price per wand for glitter wands is $50 / 8 = $6.25.
Now, we can check each purchase by dividing the total cost by the number of wands:
- Total: $56.75 - Price per wand: $56.75 / 9 = $6.31 (higher than $6.25)
- Total: $43.25 - Price per wand: $43.25 / 7 = $6.18 (lower than $6.25)
- ...
- Total: $678.25 - Price per wand: $678.25 / 15 = $45.22 (higher than $6.25)
Based on the calculations, the price per wand for each purchase is different from the price per wand for glitter wands. Some purchases have a higher price per wand, while others have a lower price per wand.