In order to solve the given problem, we will form two equations and combine them into a system. We know that in the game there are 75 point earning trees. If we let g be the number of giant sequoias and b be the number of baobab trees, we can write an equation to represent the situation.
To finish the system we need another equation. Note, that if we add the number of giant sequoias multiplied by 5 and the number of baobab trees multiplied by 2, it will be equal to the number of points all trees are worth together. Using that the point earning trees in the game together are worth 240 points we can write this equation.
Combining the equations, we have the following system of equations.
To find how many giant sequoias and how many baobab trees there are in the game we will solve the system
using the substitution method. As the first step we need to isolate one of the variables in one of the equations. Let's isolate b in Equation (I).
Next we will substitute 75−g for b in Equation (II) and solve the resulting equation for g.