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Answer :
To solve this problem, we need to determine how many party favor bags are given out. Here's a step-by-step breakdown:
1. Understanding the Problem:
- Each party favor bag contains a certain number of treats, specifically given by the expression [tex]\(4x + 1\)[/tex].
- A total of [tex]\(60x + 15\)[/tex] treats is distributed across all the bags.
2. Setting up the Equation:
- To find how many bags are given out, we need to see how many times the number of treats in one bag ([tex]\(4x + 1\)[/tex]) fits into the total number of treats ([tex]\(60x + 15\)[/tex]).
- This means we are dividing the total number of treats by the number of treats per bag.
3. Calculation:
- Calculate the number of bags:
[tex]\[
\text{Number of bags} = \frac{60x + 15}{4x + 1}
\][/tex]
4. Finding the Value:
- After performing the division, we find that the number of bags is 15.
Therefore, the number of bags distributed is [tex]\( \boxed{15} \)[/tex].
This corresponds to option (a) in the given choices.
1. Understanding the Problem:
- Each party favor bag contains a certain number of treats, specifically given by the expression [tex]\(4x + 1\)[/tex].
- A total of [tex]\(60x + 15\)[/tex] treats is distributed across all the bags.
2. Setting up the Equation:
- To find how many bags are given out, we need to see how many times the number of treats in one bag ([tex]\(4x + 1\)[/tex]) fits into the total number of treats ([tex]\(60x + 15\)[/tex]).
- This means we are dividing the total number of treats by the number of treats per bag.
3. Calculation:
- Calculate the number of bags:
[tex]\[
\text{Number of bags} = \frac{60x + 15}{4x + 1}
\][/tex]
4. Finding the Value:
- After performing the division, we find that the number of bags is 15.
Therefore, the number of bags distributed is [tex]\( \boxed{15} \)[/tex].
This corresponds to option (a) in the given choices.
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