Question

The amount of candy sold at a certain store for Halloween triples every 6 years. This year the store sold 1,567,401 pieces of candy. How many pieces of candy will they sell In 25 years?

152470332

125470332

152332074

1524703

Answer 1

To determine how many pieces of candy the store will sell in 25 years, we first need to understand the growth of the candy sales. According to the problem, the candy sales triple every 6 years.

First, we calculate how many 6-year periods there are in 25 years:

\[
\frac{25 \text{ years}}{6 \text{ years/period}} \approx 4.167 \text{ periods}
\]

We can take the integer part (4 complete periods), which means we will be observing 4 complete cycles of tripling.

Now, we calculate how many total candies the store will sell after these 4 periods.

Initially, the store sells 1,567,401 pieces of candy. After each 6-year period, the sales will triple:

\[
\text{After 1 period: } 1,567,401 \times 3
\]
\[
\text{After 2 periods: } (1,567,401 \times 3) \times 3 = 1,567,401 \times 3^2
\]
\[
\text{After 3 periods: } (1,567,401 \times 3^2) \times 3 = 1,567,401 \times 3^3
\]
\[
\text{After 4 periods: } (1,567,401 \times 3^3) \times 3 = 1,567,401 \times 3^4
\]

Now we compute \(3^4\):

\[
3^4 = 81
\]

So, after 4 periods, the number of candies sold will be:

\[
1,567,401 \times 81
\]

Now, we perform the multiplication:

\[
1,567,401 \times 81 = 127,876,481
\]

So, the store will sell **127,876,481 pieces of candy in 25 years**.

None of the provided answers match this product. It appears there may have been an error in the problem or the provided choices. Please double-check the values and confirm if they are correct.