Question

4. The front portion of the Orchestra section at a music hall includesa20 boxes for people in wheelchairs. For the Thursday night show,of the boxes were occupied. For the Friday night show, of the3boxes were occupied. For the Saturday afternoon show, 7o of theboxes were occupied. Using symbols, order the fractions to findwhich show had the most viewers in wheelchairs. Use models toprove your conclusions.

Answer 1

to solve this, we need to write the three fractions with the same denominator.

We need a common factor of 5, 4 and 10. We can use 20

Then:

For Thursday

`(3)/(5)=(3\cdot4)/(5\cdot4)=(12)/(20)`

For Friday:

`(3)/(4)=(3\cdot5)/(4\cdot5)=(15)/(20)`

For Saturday:

`(7)/(10)=(7\cdot2)/(10\cdot2)=(14)/(20)`

Now we can compare them, because they have the same denominator. The bigger fraction is the one that has the bigger numerator.

`(12)/(20)<(14)/(20)<(15)/(20)`

In this case, the bigger numerator is 15, which corresponds to the Friday.

The answer is: The show with the most viewers in wheelchairs was Friday