Question
Question A gaming platform charges a monthly membership fee of $9.99 with an additional charge of $4.99 for each gem pack that is purchased. You budget to spend $50 per month on gaming. How many gem packs can you buy?(1 point) Responses 35 35 8 8 12 12 3 3
Answers
GPT-4o mini
To find out how many gem packs you can buy while staying within your $50 budget, you can set up the following equation:
1. Let \( x \) be the number of gem packs.
2. The total cost is given by:
\[
\text{Total Cost} = \text{Monthly Fee} + (\text{Price per Gem Pack} \times \text{Number of Gem Packs})
\]
3. Substituting the values:
\[
50 = 9.99 + (4.99 \times x)
\]
Now, solve for \( x \):
1. Subtract the monthly fee from your budget:
\[
50 - 9.99 = 4.99x \quad \Rightarrow \quad 40.01 = 4.99x
\]
2. Divide both sides by 4.99:
\[
x = \frac{40.01}{4.99} \approx 8.01
\]
Since you can only buy a whole number of gem packs, you can buy a maximum of 8 gem packs.
So, the answer is **8** gem packs.
1. Let \( x \) be the number of gem packs.
2. The total cost is given by:
\[
\text{Total Cost} = \text{Monthly Fee} + (\text{Price per Gem Pack} \times \text{Number of Gem Packs})
\]
3. Substituting the values:
\[
50 = 9.99 + (4.99 \times x)
\]
Now, solve for \( x \):
1. Subtract the monthly fee from your budget:
\[
50 - 9.99 = 4.99x \quad \Rightarrow \quad 40.01 = 4.99x
\]
2. Divide both sides by 4.99:
\[
x = \frac{40.01}{4.99} \approx 8.01
\]
Since you can only buy a whole number of gem packs, you can buy a maximum of 8 gem packs.
So, the answer is **8** gem packs.