Question
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
pounds
Answers
GPT 3.5
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.
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?
GPT 3.5
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.
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.