Question
Isaac has 12 balloons. If he buys 6 balloons every day, at least how many days does he need to collect 100 balloons?
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19
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18
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15
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12
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19
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18
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15
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12
Answers
GPT-4o mini
Isaac starts with 12 balloons and buys 6 balloons every day. We want to determine how many days it will take for him to reach a total of at least 100 balloons.
First, we need to calculate how many balloons he still needs after starting with 12:
\[
100 - 12 = 88
\]
Next, we will figure out how many days it will take him to collect those 88 additional balloons, given that he buys 6 balloons each day. We can represent the number of days needed as follows:
Let \( d \) be the number of days. The total number of balloons he will have after \( d \) days is given by:
\[
12 + 6d
\]
We need this total to be at least 100:
\[
12 + 6d \geq 100
\]
Now, we can solve for \( d \):
\[
6d \geq 100 - 12
\]
\[
6d \geq 88
\]
\[
d \geq \frac{88}{6}
\]
Calculating \( \frac{88}{6} \):
\[
\frac{88}{6} \approx 14.67
\]
Since \( d \) must be a whole number, Isaac will need at least 15 days to reach at least 100 balloons.
Thus, the answer is:
**15 days**.
First, we need to calculate how many balloons he still needs after starting with 12:
\[
100 - 12 = 88
\]
Next, we will figure out how many days it will take him to collect those 88 additional balloons, given that he buys 6 balloons each day. We can represent the number of days needed as follows:
Let \( d \) be the number of days. The total number of balloons he will have after \( d \) days is given by:
\[
12 + 6d
\]
We need this total to be at least 100:
\[
12 + 6d \geq 100
\]
Now, we can solve for \( d \):
\[
6d \geq 100 - 12
\]
\[
6d \geq 88
\]
\[
d \geq \frac{88}{6}
\]
Calculating \( \frac{88}{6} \):
\[
\frac{88}{6} \approx 14.67
\]
Since \( d \) must be a whole number, Isaac will need at least 15 days to reach at least 100 balloons.
Thus, the answer is:
**15 days**.