The ratio of the number of cups of blue paint to the number of cups of red paint that Lara mixed to make a shade of purple paint is 3:1. Part A: Write a sentence to describe the number of cups of blue paint that Lara mixed with each cup of red paint. (4 points)

Part B: How many cups of red paint should Lara add to each cup of blue paint to make the shade of purple? Explain your reasoning. (4 points)

Part C: If Lara purchased 6 cups of blue paint for $48, what is the unit price per cup of blue paint? (2 points)

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. (a) what is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive? (b) what is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) what proportion of bags contains more than 1225 chocolate chips? (d) what is the percentile rank of a bag that contains 1425 chocolate chips?