Define Fractions and Mixed Numbers

If Peter brings 5 zippers of a certain style, Jenny contributes 3, and Rita provides [tex][tex]$\frac{2}{5}$[/tex][/tex] of a set of 10, how many zippers do they have in total for the show?



Answer :

Let's solve the problem step by step:

1. Identify Contributions:
- Peter brings 5 zippers.
- Jenny contributes 3 zippers.
- Rita provides [tex]\(\frac{2}{5}\)[/tex] of a set of 10.

2. Calculate Rita's Contribution:
- To find how many zippers Rita provides, calculate [tex]\(\frac{2}{5}\)[/tex] of 10.
- [tex]\(\frac{2}{5} \times 10 = 4\)[/tex]. Hence, Rita provides 4 zippers.

3. Add Up Contributions:
- Now, add up the zippers from Peter, Jenny, and Rita.
- Peter: 5 zippers
- Jenny: 3 zippers
- Rita: 4 zippers

4. Calculate the Total Number of Zippers:
- Adding these together gives: [tex]\(5 + 3 + 4 = 12\)[/tex] zippers.

So, the total number of zippers they have for the show is 12.