Question

iatiana wants to give friendship bracelets to her 32 classmates. she already has 5 bracelets, and she can buy more bracelets in packages of 4. write an inequality to determine the number of packages, p, tatiana could buy to have enough bracelets. will tatiana have enough bracelets if she buys 5 packages? choose 1 answer: a yes b no

Explanation:

Step1: Formulate the inequality

Tatiana already has 5 bracelets and buys \( p \) packages with 4 bracelets each. She needs at least 32 bracelets. So the inequality is \( 5 + 4p \geq 32 \).

Step2: Check for \( p = 5 \)

Substitute \( p = 5 \) into the left - hand side of the inequality: \( 5+4\times5=5 + 20=25 \). Wait, no, wait, \( 4\times5 = 20 \), \( 5+20=25 \)? Wait, no, that's wrong. Wait, \( 4\times5=20 \), \( 5 + 20=25 \)? Wait, no, the number of classmates is 32. Wait, no, I made a mistake. Wait, \( 5+4p\), when \( p = 5 \), \( 4\times5 = 20 \), \( 5+20 = 25 \)? No, that can't be. Wait, no, the total number of bracelets should be at least 32. Wait, \( 5+4p\geq32 \). Let's solve for \( p \): \( 4p\geq32 - 5=27 \), \( p\geq\frac{27}{4}=6.75 \). But when \( p = 5 \), \( 5+4\times5=5 + 20 = 25 \), which is less than 32. Wait, but that contradicts? Wait, no, maybe I misread the problem. Wait, the problem says "32 classmates", so she needs at least 32 bracelets. She has 5, and each package has 4. So the total bracelets is \( 5 + 4p \). We need \( 5+4p\geq32 \). When \( p = 5 \), \( 5+20 = 25<32 \), so the answer is No? Wait, but let's re - check.

Wait, maybe I made a mistake in calculation. \( 4\times5 = 20 \), \( 5+20 = 25 \). 25 is less than 32. So she doesn't have enough. So the answer to the second question is No. But first, the inequality: \( 5 + 4p\geq32 \).

Answer:

(for the inequality):
\( 5 + 4p\geq32 \)