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
