There are a total of 103 students in a drama club and a yearbook club. the drama club has 19 more students than the yearbook club. how many students are in the drama club? the yearbook club?

This situation can be represented by a system of equations. First, we must assign variable. Let's say the number of students in drama club is d and the number of students in yearbook club is y. Using the information, we can create two equations.
y + d = 103
d = y + 19
Replace d in the first equation with y + 19 to solve the system of equations algebraically.
y + (y + 19) = 103
2y + 19 = 103
2y = 84
y = 42
Plug y back into either equation to solve for d.
d = (42) + 19
d = 61
So, there are 42 students in the yearbook club and 61 in the drama club. Hope that helps!

When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates. if you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.