Question

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%, percent longer to prepare a bag.

How many hours will it take Ashley and 4 of her friends to prepare 1575 bags of samples?

Answer 1

5 3/5

Explanation:

Answer 2

5 1/3 hours.

Explanation:

Ashley prepares 1 bag in 2/3 minutes.

One friend takes 2/3 + 3/4 * 2/3 = 7/6 minutes to make 1 bag.

4 of her friends can make 1 bag in 7/6 * 1/4 = 7/24 minutes.

If it takes x minutes for Ashley and 4 friends to make one bag then we have:

1 / 2/3 + 1 / 7/24 = 1 / x

3/2 + 24/7 = 1/x

Multiply through by 14x:

21x + 48x = 14

x = 14/69 minutes.

So the time to make 1575 bags = 1575 * 14/69

= 320 minutes.