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?

3 1/2 hours

Step-by-step explanation:

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75% is written as 0.75 as a decimal or 3/4 as a fraction.

Her friends take 75% longer, so multiply the time it takes Ashley by 1 + the percentage: 1.75 as a decimal or 1 3/4 (7/4) as a fraction.

2/3 x 7/4 = 14/12 = 1 2/12 = 1 1/6 minutes.

1 hour = 60 minutes.

Divide minutes in an hour by inutes per pack:

Ashley can pack: 60 / 2/3 = 90 bags per hour

1 friend can pack: 60 / 1 1/6 = 51 3/7 bags per hour.

multiply the amount 1 friend can pack by 4 friends: 51 3/7 x 4 = 205 5/7 bags per hour.

Ashley and her friends can pack 90 + 205 5/7 = 295 5/7 bags per hour.

Now divide the total bags by bags per hour:

1575 / 295 5/7 = 5.33 hours (Round answer as needed.)