If Tatiana already has 5 bracelets and can only buy packs of 4 bracelets, if she buys p packs she will have
[tex]5+4p[/tex]
bracelets. In fact, the 5 represents the bracelets she already has, and then we add 4p bracelets, because she bought p packs with 4 bracelets each.
We need this number to be at least 32, so we want
[tex]5+4p\geq 32[/tex]
To solve the inequality, we can subtract 5 from both sides:
[tex]4p \geq 27[/tex]
And divide both sides by 4:
[tex]p \geq \dfrac{27}{4}[/tex]
Since p has to be an integer, we pick the first integer to be greater than 27/4, which is 7.
