Hello, Marcia. I have answered the questions below. Tell me if there's something you don't understand.
1.) Known: 28 students total, 11 students per van.
Whenever you hear the word 'per', you can think of it as a fraction. Imagine the line separating the numerator and denominator is the word 'per'.
[tex]\frac{11(students)}{1(van)}[/tex]
We need to find out how many students are in the van that is not full, which means we have to divide and the answer will be the remainder. I know this is kind of hard to understand, so let's write it out.
28 ÷ [tex]\frac{11}{1}[/tex]
Multiply by reciprocal:
--> [tex]28 * \frac{1}{11}[/tex]
---> [tex]\frac{28}{11}[/tex]
SImplify: 28/11 = [tex]2\frac{6}{11}[/tex]
This means that there are two full vans, and one van holding six people.
2.) If 20 is divided into 3 equal halves, then this means there is [tex]\frac{1}{3}[/tex] of 20 in each bag. To write this as a fraction, we can say [tex]\frac{20}{3}[/tex], or [tex]6\frac{2}{3}[/tex]. To write it as a whole number we have to round. Twenty divided by three is 6.6. This can be rounded to 7.
3.) The most important thing you can do to solve this problem, look at the key words. The second sentence says he saves half of what he earns each week. Half of 196 is [tex]\frac{196}{2}[/tex], or $98.
4.) It says that Desiree spends 25 minutes each day, so I will write this as 25d. D, in this case, stands for days, and we don't know how much d is yet. If she spends 25 minutes a day for 14 days, then 25d changes into [tex]25d --> 25(14)[/tex]. This means that she will swim for 350 minutes every two weeks.
5.) Use the same method for #4. 144d will turn into [tex]144(5)[/tex], so Steve will bike 720 miles in 5 days.
6.) Use the same method as #2. If 136 is divided into eight equal parts, then this makes [tex]\frac{136}{8}[/tex]. This means that every row will have 17 bricks.
I hope this was helpful. : )
