Question

Sarah is selling bracelets and earrings to make money for summer vacation. The bracelets cost $2 and the earrings cost $3. She needs to make at least $60. Sarah knows she will sell more than 10 bracelets. Write inequalities

Answer 1

Sarah is selling bracelets. The inequalities are a > 10 and 2a + 3b ≥ 60.

Solution:

Given, Sarah is selling bracelets and earrings to make money for summer vacation.  

bracelets cost = $2

earrings cost = $3  

She needs to make at least $60.  

Sarah knows she will sell more than 10 bracelets.  

We have to write inequalities

Now, according to given information,  

Total money ≥ $ 60

Money earned from bracelets + money earned by earrings ≥ 60

2 x number of bracelets + 3 x number of earrings ≥ 60

2a + 3b ≥ 60  

[ where a is number of bracelets and b is number of earrings]

And, number of bracelets is more than 10 ⇒ a > 10

Hence, the inequalities are a > 10 and 2a + 3b ≥ 60