Question

Taffy Twists candy company keeps the same ratio of pieces of strawberry candy to banana candy in their packs. The Mega Pack has 40 strawberry candies and 50 banana candies. The Party Pack has 20 strawberry candies.
How many banana candies are in the Party Pack?

Answer 1

To determine how many banana candies are in the Party Pack, we first need to find the ratio of strawberry candies to banana candies in the Mega Pack.

The Mega Pack contains:
- Strawberry candies: 40
- Banana candies: 50

The ratio of strawberry candies to banana candies in the Mega Pack is:

\[
\text{Ratio} = \frac{\text{Strawberry}}{\text{Banana}} = \frac{40}{50} = \frac{4}{5}
\]

Now, we know the Party Pack has 20 strawberry candies. We need to maintain the same ratio of 4:5 for the Party Pack.

Let \( b \) be the number of banana candies in the Party Pack. According to the ratio of strawberry to banana candies, we have:

\[
\frac{20}{b} = \frac{4}{5}
\]

To solve for \( b \), we can cross-multiply:

\[
4b = 20 \cdot 5
\]

Calculating the right side:

\[
4b = 100
\]

Now, divide both sides by 4 to find \( b \):

\[
b = \frac{100}{4} = 25
\]

Therefore, the number of banana candies in the Party Pack is \( \boxed{25} \).