Answer:
120 minutes
Step-by-step explanation:
12 x 10 = 120
10 x 12 = 120
15 x 8 = 120
You will put the muffins in 10 times and you will put the cookies in 12 times then you will put the scones in 8 times. If you have different numbers, you can first start out with one number and times all of the numbers by that one number. For example I picked 5 to start out with:
12 x 5 = 60 minutes 10 x 5 = 50 minutes 15 x 5 = 75 minutes.
Then I did 12 x 6 = 72 minutes, 10 x 6 = 60 minutes, 15 x 6 = 90 minutes
Since I still don't have the numbers to add up to the same answer, I went to timing them by 7:
12 x 7 = 84 minutes, 10 x 7 = 70 minutes, 15 x 7 = 105 minutes
They are still not the same answer so lets try 8:
12 x 8 = 96 minutes, 10 x 8 = 80 minutes, 15 x 8 = 120 minutes.
Since I don't want to go farther than 120 minutes, I will keep trying different numbers for the other ones besides 15.
12 x 9 = 108 minutes, 10 x 9 = 90 minutes
12 x 10 = 120 minutes, 10 x 10 = 100 minutes
Now we will focus on getting 10 to 120 because we got 12 to 120.
10 x 11 = 110 minutes
10 x 12 = 120 minutes
To sum all of this, it took 8 trips to get 15 minutes to 120 minutes, 10 trips to get 12 minutes to 120 minutes, and 12 trips to get 10 minutes to 120 minutes.
One more way to think about this is:
10, 12, and 15 can go into 120 evenly.
[tex]12\sqrt{120} = 10[/tex]
[tex]10\sqrt{120} = 12\\15\sqrt{120} = 8[/tex]
