Question

1. modelling real life a group of friends equally share 3 bags of pretzels. each friend gets \\(\frac{3}{5}\\) of a bag of pretzels. how many friends are in the group?

Explanation:

Step 1: Define the problem

Let the number of friends be \( n \). The total number of bags of pretzels is 3, and each friend gets \( \frac{3}{5} \) of a bag. So we can set up the equation: \( n\times\frac{3}{5}=3 \).

Step 2: Solve for \( n \)

To solve for \( n \), we divide both sides of the equation by \( \frac{3}{5} \), which is the same as multiplying by \( \frac{5}{3} \). So \( n = 3\div\frac{3}{5}=3\times\frac{5}{3} \).

Step 3: Calculate the result

Simplifying \( 3\times\frac{5}{3} \), the 3s cancel out, leaving \( n = 5 \).

Answer:

There are 5 friends in the group.