Two factory workers made 19 pieces in a certain amount of time. How many workers are needed to make (a) 38, (b) 76 and (c) 133 pieces in the same amount of time, assuming each worker works at the same rate?

(a) 4 workers (b) 8 workers (c) 14 workers (a) For 38 pieces, that means that 38/19 = 2 which is twice as many workers are needed as what were needed to make 19 pieces. And since it took 2 workers to make 19, it will take 2 * 2 = 4 workers to make 38 pieces in the same amount of time. (b) For 76 pieces, that means that 76/19 = 4 which is four times as many workers are needed as what were needed to make 19 pieces. And since it took 2 workers to make 19, it will take 4 * 2 = 8 workers to make 76 pieces in the same amount of time. (c) For 133 pieces, that means that 133/19 = 7 which is seven times as many workers are needed as what were needed to make 19 pieces. And since it took 2 workers to make 19, it will take 7 * 2 = 14 workers to make 133 pieces in the same amount of time.