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1. There are 3 1/2 groups of students ready to load buses for a field trip. Each group will fill one bus 2/5 of the students on each bus are boys. How many buses would it take to carry only the boys.
2. Mark is going to a pool party. It is 2 3/4 miles from his house. Mark decides to ride his bicycle, but he has a flat tire 2/3 if the way there. How far is Mark from his house?

Sagot :

facundo3141592
  • you will need 2 busses to only transport the boys.
  • Mark is at (1 + 5/6) miles of his house.

How many buses would it take to carry only the boys?

We know that there are (3 + 1/2) groups, such that each group fill one bus.

2/5 of the students are boys, then the number of groups that we can make only with boys is:

(2/5)*(3 + 1/2) = 6/5 + 1/5 = 7/5 = 5/5 + 2/5 = 1 + 2/5

Then you can make one and a little less than a half of a group, which means that you need 1 and 2/5 of a buss to transport the boys, rounding that to the a whole number, you will need 2 busses to only transport the boys.

How far is Mark from his house?

The original distance is:

D = (2 + 3/4) miles.

But Mark only covers 2/3 of that distance, then we have:

d = (2/3)*D = (2/3)*(2 + 3/4) miles = (4/3 + 2/4) miles

d = (4/3 + 1/2) miles = (8/6 + 3/6) miles = (1 + 5/6) miles

Mark is at (1 + 5/6) miles of his house.

If you want to learn more about mixed numbers:

https://brainly.com/question/21610929

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