A fraction, a/b, not necessarily in lowest terms, is equivalent to 5/9. When 5 is added to the denominator of a/b, the value of the new fraction becomes 1/2. What is the sum of a and b?

Acaterer charges $500 plus $30 per guest to cater a wedding. walt and traci don't want to spend more than $8000 on catering. write and solve an inequality in terms of the number of guests, g, that can be invited. a) 30g ? 8000; g ? 267 b) 500g < 8000; g < 16 c) 500 + 30g < 8000; g < 250 d) 500 + 30g ? 8000; g ? 250