Fresh Market is making 22 1/2 pounds of trail mix. 1/3 of the mix will be raisins, 1/5 of the mix will be M&M’s candy, and the remainder of the mix will be nuts. How many pounds of nuts are needed for the trail mix? Express the answer as a fraction in simplest form.(1 point)
pounds
To find the amount of nuts needed for the trail mix, we need to subtract the combined weight of raisins and M&M's from the total weight of the trail mix.
The weight of raisins is 1/3 of the total weight, or (1/3)*(22.5) = 7.5 pounds.
The weight of M&M's candy is 1/5 of the total weight, or (1/5)*(22.5) = 4.5 pounds.
The combined weight of raisins and M&M's is 7.5 + 4.5 = 12 pounds.
Therefore, the weight of nuts needed for the trail mix is 22.5 - 12 = 10.5 pounds.
Expressed as a fraction in simplest form, the weight of nuts needed for the trail mix is 10.5/1 pounds.
In a 90-minute time period, Gina watched TV, texted a friend, and read a book. She spent 3/5 of the time watching TV and 1/6 of the remainder of the time texting a friend. How much time did Gina spend reading?
To find the amount of time Gina spent reading, we need to subtract the time she spent watching TV and texting a friend from the total time period.
Gina spent 3/5 of the 90-minute time period watching TV, which is (3/5)*90 = 54 minutes.
The remainder of the time period after watching TV is 90 - 54 = 36 minutes.
Gina then spent 1/6 of the remainder of the time texting a friend, which is (1/6)*36 = <<1/6*36=6>>6 minutes.
The total time Gina spent watching TV and texting a friend is 54 + 6 = <<54+6=60>>60 minutes.
Therefore, Gina spent 90 - 60 = <<90-60=30>>30 minutes reading.