Question

Tatiana wants to give friendship bracelets to her

32
3232 classmates. She already has
5
55 bracelets, and she can buy more bracelets in packages of
4
44.
Write an inequality to determine the number of packages,
p
pp, Tatiana could buy to have enough bracelets.

Answer 1

The inequality is: 5 + 4p ≥ 32

No Tatiana will not be able to purchase enough.

Explanation:

Tatiana already has 5 bracelets and also gets p packages with 4 bracelets per package.

That means there will be 4p bracelets in each package. So she has a total of 5 + 4p bracelets. So, it has to be greater than 32. So that's why the inequality is:

5+ 4p ≥ 32

Let's try to put 5 in the variable 'p'. (p=5) *Try it yourself!* Putting 5 makes the inequality false, So Tatiana will not have enough bracelets for the class.

​Hope this helps :)

Answer 2

The equation to determine number of packages
`4x\geq 27`

Explanation:

Given:

Total Number of classmates =32

Number of bracelets she has = 5

Number of packages she can buy more = 4

Let x be the number of bracelets required more.

Hence the inequality equation can be determine as

Number of bracelets she has + Number of packages she can buy more
`*` number of bracelets required more ≥ Total Number of classmates

`5+4x\geq 32\\4x\geq 32-5\\4x\geq 27`

The equation to determine number of packages
`4x\geq 27`