In order to solve problems involving proportions, you should be able to:
sets two ratios equal to each other. In one ratio, one of the quantities is not known. You then use cross multiplication and solve the equation
for the missing value.
Suppose it takes 48 chicken fingers to feed Mr. Young’s 4th grade class of 20 students. How many chicken fingers would be needed for 30 students?
There are several ways to approach this problem. Most students feel that the easiest way is to set up a ratio
with the first piece of information given in the problem. In this problem, the ratio
. According to the problem, it takes 48 chicken fingers for 20 students which can be expressed as the ratio
. Now we need to set up the second ratio
for the larger group of students keeping in mind that the number of chicken fingers goes in the numerator and the number of students goes in the denominator. We do not know the number of students, so we can call it x
. The number of students is 30. This gives the ratio
. Solving a proportion
means that we are now going to set the two ratios equal to each other and solve.
So it will take 72 chicken fingers to feed 30 students.
It is helpful to set up the ratio
in words before using numbers so that you are consistent. You could have set up the previous problem in other ways, but as long as you were consistent with your ratios your answer should still be 72.