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

Answer:

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

Step-by-step 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 $1 \frac{3}{4} \ \ or \ \ \frac{7}{4}$ as a fraction.

$\frac{2}{3} \times \frac{7}{4} =\frac{14}{12} = 1 \frac{2}{12} = 1 \frac{1}{6} minutes$.

1 hour = 60 minutes.

Divide minutes in an hour by minutes per pack:

Ashley can pack: $\frac{60}{\frac{2}{3}} = 90 \ bags\ per \ hour$

1 friend can pack: $\frac{60}{1\frac{1}{6}}=\frac{360}{7} = 51 \frac{3}{7} \ bags \ per \ hour.$

multiply the amount 1 friend can pack by 4 friends: $51 \frac{3}{7} \times 4 = \frac {1440}{7} = 205 \frac{5}{7} \ bags \ per \ hour$

Ashley and her friends can pack $90 + 205 \frac{5}{7} = 295 \times \frac{5}{7} \ bags \ per \ hour.$

Now divide the total bags by bags per hour:

$\frac{1575}{295 \frac{5}{7}} = 5.33 \ hours$ ( Round answer as needed.)

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