 Hello and welcome to the session. In this session we will discuss the question which says that write a unit rate for each situation. A part 100 entries in 4 contests, B part 144 miles in 4.5 gallons, C part find the unit price if it costs 12 dollars per 8 plates. Now before starting with the solution of this question we should know a result and that is a unit rate compares a quantity to one unit of other quantity. Now let us see an example of this and that is if a person's heart beats 255 times in 3 minutes then unit rate of heart beat, I don't know the numerator and denominator by 3, we get this equal to 75 heart beats per minute. It means that the person's heart beats 75 times in 1 minute. Now this result will work out as a key idea for solving out the given question and now we will start with the solution of the given question. The question is asked that we have to write a unit rate for each situation and the first situation is 100 entries in 4 contests. So in the first part we have to find the number of entries in one contest. So here in the numerator we will write the entries, we will write the number of contests. Now there are 100 high entries in 4 contests. In the numerator the entries which are 100 and in the denominator we will write the number of contests. So there are 4 contests. Now for unit rate denominator to be 1, now dividing both numerator to denominator by 4 that is as we have to make the denominator equal to 1. So we will write both numerator and denominator by 4. So we get 100 upon 4 equal to 4 upon 4. Now 4 into 25 is 100 and 4 into 1 is 4. So this is equal to 25 upon 1. Now let us start with the B part. Now in the B part the unit rate for miles and in the denominator ratio 45 by 10 which is a fraction. So this is equal to 45 and a unit rate compares a quantity to 1 unit of 144 miles in 4.5 get to the denominator 1 and for making the denominator 1 we have to divide both the numerator and denominator by 45. So dividing denominator we get 4 into 10 upon 45 upon 45. Now into 9 is 45 and 5 into 2 is 10. Then 9 into 16 is 144. So this is equal to 2 into 2 that is 16 into 2 is 32. So this is 32 miles. Now in the C part we have to find the unit price. Now here is the price and in the denominator we will keep the number of plates per plate or the cost per plate. We will make the denominator 1 and for this we will divide the numerator and denominator by 8. So dividing denominator 12 upon 8 upon 8 which is equal to now 8 into 1 is 8 and 4 into 3 is 12. 1.5 dollars upon and this is equal to it. It means that it costs 1.5 dollars. So this is the solution of the given question and that's all for this session. Hope you all have enjoyed this session.