This week, there was only 1 chapter that we have learned, and that isĀ Applications of rational equations .
There are many tricks in word problems.
Ex: Joe is able to drink a whole bottle of water in 5 days, but when Joe and Franc drink it together, they can finish in 2 days. How many days will it take Franc to finish the whole bottle.
In this word problem, you can see there are 2 person who are involved. 1 is Joe and the other is Franc.
First I recommend to have a map of what is going on.
Joe : 5 days
Franc: x days
Together: 2 days.
Next I will think as together as 1 because they are finishing 1 bottle in a certain amount of time. However, because they have finish in 2 together, Joe fraction will look like 2/5 and Franc fraction will look like 2/x
Now we have everything we need to finish the problem.
2/5+2/x=1
2x+4/10x=1
2x+4=10x
4=8x
x=1/2 days
As a result, it will take 1/2 day to finish the whole bottle