Question

7. Kasha spent $23 on supplies to make bracelets. She sells them for $2.50 each. She would like to make more than $50 in profit. Write and solve an inequality to determine how many bracelets she needs to sell to meet her goal.

Answer 1

Number of bracelets: b

She sells a bracelet for 2.50

Ears of sold b bracelets: 2.50b

As she spent $23 on supplies this amount needs to be substracted from the earns to get the profit.

Profit: more than $50 (greather than 50)

Then, you get the next inequality:

`2.50b-23>50`

To solve the number of brecelets:

1. Add 23 in both sides of the inequality:

`\begin{gathered} 2.50b-23+23>50+23 \\ 2.50b>73 \end{gathered}`

2. Divide both sides of the inequality into 2.50:

`\begin{gathered} (2.50)/(2.50)b>(73)/(2.50) \\ \\ b>29.2 \end{gathered}`As the number of brecelets she needs to sell to meet her goal needs to be greather than 29.2 and she cannot sell 0.2 bracelets. She needs to sell more than 30 brecelets to meet her goal.