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.

5.33 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 Ashley takes to prepare one bag = 2/3 min

Time it takes each friend of Ashley to prepare one bag = 75% more than it takes Ashley

= (75% of 2/3 min) + 2/3 min

= (0.75 × 2/3) + 2/3

= (3/4 × 2/3) + 2/3

= 6/12 + 2/3

= 1/2 + 2/3

= (3+4)/6

= 7/6 min

Rate of Ashley and 4 friends preparing 1 bag

Rate Ashley works = 1 bag / (2/3) min

= 3/2 bag/min

Rate each friend of Ashley works = 1 bag / (7/6) min

= 6/7 bag/min

Rate 4 friends of Ashley works

= 4 × 6/7 bag/min

= 24/7 bag/min

Rate of Ashley and 4 friends preparing 1 bag = 3/2 bag/min + 24/7 bag/min

= 3/2 + 24/7

= (21+48)/14

= 69/14 bag/min

Time taken to prepare 1575 bags

= number of bags / number of bags per min

= 1,575 bags / (69/14) bags/min

= 1575 × 14/69

= (1575×14)/69

= 22,050 / 69

= 319.57 min

319.57 min to hours

= 319.57 min / 60 min

= 5.33 hours

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step-by-step explanation:

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