Algebra II help

Question

Amy and Katie have between $125 and $200 dollars to spend on jewelry for Christmas presents for their friends. If they buy 8 bracelets at $3.50 each and 6 necklaces at $12 each, how many pairs of earrings can they buy if they cost $6.00 each? 

 

I have to write answer in a complete sentence and show my work.

 

Can someone please explain? 

 

thank you in advance.

Answer 1

Solve the inequality 125 ≤ 8(3.50) + 6(12) + 6x ≤ 200 for x, where x is the number of earrings they purchased.

 

The solution is: 

 

25 ≤ 6x ≤ 100,

 

or 25/6 ≤ x ≤ 100/6.

 

Notice that 25/6 = 4.16666 and 100/6 = 16.66666. Choose a whole number between these. The largest permissible value for x is 16, so they can buy at most 16 pairs of earrings. (This will cost $196, so they could not buy one more.)