Question

Jack and Luke were wrapping presents. Jack was able to wrap presents at a constant rate of 3 presents every 15 min. Luke was able to wrap presents at a constant rate of 5 presents every 20 min. Each boy had 20 presents to wrap, and the boys started wrapping presents at the same time.

Write an equation to find the rate each boy wraps presents. You may use y=kx or w=rt (4 points 2 for each)

Answer 1

jack = 3 presents every 15 minutes
luke = 4 presents every 20 minutes
target = 20 presents wrapped per person

y = kx ; where k is the constant rate, x is the number of presents wrapped, y is the total number of minutes spent wrapping x number of presents.

we need to compute for the unit rate of each individual.

Jack: 15 minutes / 3 presents = 5 minutes per present
Luke: 20 minutes / 5 presents = 4 minutes per present

Jack:
y = 5 minutes per present * 20 presents = 100 minutes

Luke:
y = 4 minutes per present * 20 presents = 80 minutes