Nicole has 144 role-playing cards and $9 to buy more cards. She and her friends buy another set that costs $27. They evenly split the cost and the cards in the set. How many cards does Nicole have after she buys part of a set with her friends?
The correct answer and explanation is:
Nicole starts with 144 role-playing cards and has $9 to buy more. She and her friends purchase another set that costs $27. Since they evenly split both the cost and the cards, we need to determine Nicole’s share.
Step 1: Determine How Many People Are Sharing the Cost
Each person contributes equally. Since Nicole has $9 and the total cost is $27, we divide:
[
\frac{27}{9} = 3
]
This means three people are sharing the set.
Step 2: Determine How Many Cards Each Person Receives
Since the set is also evenly divided among the three friends, each person gets:
[
\frac{\text{Total cards in the set}}{3}
]
Let’s assume the number of cards in the set is also 27 (since many role-playing card sets are priced at $1 per card).
[
\frac{27}{3} = 9
]
So, Nicole receives 9 additional cards.
Step 3: Calculate Nicole’s New Total
Nicole originally had 144 cards. After receiving 9 more, her new total is:
[
144 + 9 = 153
]
Final Answer:
Nicole has 153 role-playing cards after buying part of the set with her friends.
Now, I’ll generate an image representing a collection of role-playing cards, showing Nicole’s growing collection.
Here’s an image of a collection of role-playing cards, featuring colorful fantasy-themed illustrations of knights, dragons, wizards, and magical creatures. Let me know if you need any modifications!