All SAT Math Resources
Example Questions
Example Question #21 : How To Find A Ratio
The exchange rate in some prehistoric village was jagged rocks for every smooth pebbles. Also, one shiny rock could be traded for smooth pebbles. If Joaquin had Jagged rocks, what is the maximum number of shiny rocks he could trade for?
We can use dimensional analysis to solve this problem. We will create ratios from the conversions given.
Since Joaquin cannot trade for part of a shiny rock, the most he can get is 3 shiny rocks.
Example Question #21 : How To Find A Ratio
In a flower bed, Joaquin plants Begonias for every Zinnias, and Marigolds for every Begonias. What is the ration of Marigolds to Zinnias planted in the flower bed?
First, we should write a fraction for each ratio given:
Next, we will multiply these fractions by each other in such a way that will leave us with a fraction that has only Z and M, since we want a ration of these two flowers only.
So the final answer is 35:6
Example Question #23 : How To Find A Ratio
Solve for :
To solve for the missing value in this ratio problem, it is a two step process.
First cross-multiply:
From here, to isolate x take the opposite operation. In other words divide each side by two.
Example Question #1382 : Sat Mathematics
A lawn can be mowed by people in hours. If people take the day off and do not help mow the grass, how many hours will it take to mow the lawn?
The number of hours required to mow the lawn remains constant and can be found by taking the original workers times the hours they worked, totaling hours. We then split the total required hours between the works that remain, and each of them have to work and hours: .