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 one person \dfrac{2}{3} 3 2 start fraction, 2, divided by, 3, end fraction of a minute to prepare one bag. How many hours will it take Ashley and 4 of her friends to prepare 1575 bags of samples?

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

n=1.75+1.75

step-by-step explanation:

3.5/2=1.75