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 \dfrac{2}{3} 3 2 start fraction, 2, divided by, 3, end fraction of a minute to prepare one bag. it takes each of her friends 75\%75%75, percent longer to prepare a bag. how many hours will it take ashley and 444 of her friends to prepare 157515751575 bags of samples?

I will rewrite the question for better understanding:

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?

5.3 hours

Explanation:

1) Time it takes Ashley to preprate one bag:

2/3 min

2) Time it takes each friend of Ashley: 75% more than 2/3 min

75% × 2/3 min = 0.75 × 2/3 min = 3/4 × 2/3 min= 2/4 min = 1/2 min = 0.5 min2/3 min + 1/2 min = 7/6 min

3) Time it takes Ashley and the 4 friends working along to prepare one bag:

Convert each time into a rate, since you can set that the total rate of Ashley along with her four friends is equal to the sum of each rate:Rate of Ashley: 1 bag / (2/3) min = 3/2 bag/minRate of each friend: 1 bag / (7/6) min = 6/7 bag/minRate of Ashley and 4 friends = 3/2 bag/min + 4 × 6/7 bag/min = (3/2 +24/7) bag/min = 69/14 bag/min

4) Time of prepare 1575 bags of samples:

time = number of bags / number of bags per min = 1,575 bags / (69/14) bags/min = 319.56 min

5) Convert minutes to hours:

356.56 min × 1 hour / 60 min = 5.3 hours

X+ y = 79
1.65x + 1.36y = $118.17

step 1: x + y = 79
- x - x

y = 79 - x


step 2: 1.65x + 1.36 ( 79 - x) = 118.17
1.65x + 107.44 - 1.36x = 118.17
0.29x + 107.44 = 118.17
- 107.44 - 107.44

0.29x = 10.73

0.29x 0.29x

x = 37


step 3: 37 + y = 79
- 37 - 37

y = 42


final answer: (37, 42)