Question

It's Jaylen's turn to bring snacks to soccer practice. His grandfather put 50 granola bars in a variety of flavors into a backpack. At snack time, Jaylen randomly grabs some bars out of the backpack and hands them out to his teammates. The table below shows the types of granola bars he has handed out so far.
Flavor Number of bars
chocolate chip 2
fruit and nut 1
s'more 4
peanut butter 3
Based on the data, estimate how many peanut butter granola bars are in the backpack.
If necessary, round your answer to the nearest whole number.
peanut butter granola bars

Answer 1

To estimate how many peanut butter granola bars are in the backpack, we can use the information provided.

First, let's calculate the total number of granola bars that Jaylen has handed out so far:

- Chocolate chip: 2
- Fruit and nut: 1
- S'more: 4
- Peanut butter: 3

Adding these together:

\[
2 + 1 + 4 + 3 = 10
\]

Jaylen has handed out 10 bars in total from the backpack so far. To find out the estimated proportion of peanut butter granola bars, we can find the fraction of peanut butter bars handed out compared to the total bars handed out:

\[
\text{Fraction of peanut butter bars} = \frac{\text{Number of peanut butter bars}}{\text{Total bars handed out}} = \frac{3}{10}
\]

Now, to estimate the total number of peanut butter bars in the backpack, we can multiply this fraction by the total number of granola bars in the backpack, which is 50:

\[
\text{Estimated number of peanut butter bars} = \frac{3}{10} \times 50 = 15
\]

Therefore, the estimated number of peanut butter granola bars in the backpack is **15**.