Question

Ashley recently opened a store that uses only natural ingredients she wants to advertise your product by distributing bags of samples in your neighborhood it takes actually 2/3 of a minute to prepare one day it takes each of her friends 75% long to repair a bag. How many hours will it take Ashley in forever friendship repair 1575 bags of samples

Answer 1

Ashley and her 4 friends would required 5.33 hours to repair 1575 bags of sample.

Explanation:

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) \ \ or \ \ (7)/(4)` as a fraction.

`(2)/(3) * (7)/(4) =(14)/(12) = 1 (2)/(12) = 1 (1)/(6) minutes`.

1 hour = 60 minutes.

Divide minutes in an hour by minutes per pack:

Ashley can pack:
`(60)/((2)/(3)) = 90 \ bags\ per \ hour`

1 friend can pack:
`(60)/(1(1)/(6))=(360)/(7) = 51 (3)/(7) \ bags \ per \ hour.`

multiply the amount 1 friend can pack by 4 friends:
`51 (3)/(7) * 4 = \frac {1440}{7} = 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.)

Hence, Ashley and her 4 friends would required 5.33 hours to repair 1575 bags of sample.