Answer:
5.3 hours
Step-by-step explanation:
Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes Ashley 2/3 of a minute to prepare one bag. It takes each of her friends 75% longer to prepare a bag. How many hours will it take Ashley and 4 of her friends to prepare 1575 bags of samples?
Time it takes 1 person to preprate one bag = 2/3 min
Time it takes each friend of Ashley: 75% more than 2/3 min
75% × 2/3 minutes
=75/100 × 2/3 minutes
= 0.75 × 2/3
= 0.5 min
= 1/2 minutes
Friends = 2/3 min + 1/2 min = 7/6 min per friend
Time it takes Ashley and the 4 friends working along to prepare one bag:
Ashley's time per bag = 1 bag / (2/3) min
= 3/2 bag/min
Ashley's friends time per bag = 1 bag / (7/6) min
= 6/7 bag/min
Total = 3/2 bag/min + 4 × 6/7 bag/min
= (3/2 +24/7)
= 69/14 bag/min
Time it takes to prepare 1575 bags of samples = number of bags / number of bags per min
= 1,575 bags / (69/14) bags/min
= 319.56 min
Convert to hours:
356.56 min / 60 min per hour
= 5.3 hours
