The ratio of yellow sweets to purple sweets is 5:4. Alice eats 3 purple sweets and the ratio is now 5:3.

Work out how many sweets there were at the beginning.

Peter applied to an accounting firm and a consulting firm. he knows that 30% of similarly qualified applicants receive job offers from the accounting firm, while only 20% of similarly qualified applicants receive job offers from the consulting firm. assume that receiving an offer from one firm is independent of receiving an offer from the other. what is the probability that both firms offer peter a job?

You need to solve a system of equations. you decide to use the elimination method. which of these is not allowed? 3x - 2y = 7 3x + 4y = 17 equation 1 equation 2

With number 11 ( show how you got the answer)