Question

Tatiana wants to give friendship bracelets to her 32 classmates. She has 5 bracelets now. She can buy more bracelets in packages of 4. If p is the number of packages Tatiana needs to buy to have at least 32 bracelets, the inequality representing the problem is: 4p+5≥32 What is the minimum number of packages Tatiana needs to buy?

Answer 1

7 packages would equal 28 bracelets, then add the 5 she already has and you get 33 total bracelets.

7 packages is the answer

Answer 2

Let

p--------> the number of packages Tatiana needs to buy

we know that

`4p+5 \geq 32\\ 4p \geq (32-5)\\ 4p \geq 27\\\\ p \geq (27)/(4) \\ \\ p \geq 6.75`

therefore

the minimum number of packages does Tatiana needs to buy is
`7`

let's check

`7*4+5=33` bracelets

`33 \geq 32` ------> is ok

the answer is

the minimum number of packages is
`7`