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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. $g+b=75$ 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. $5g+2b=240$ Combining the equations, we have the following system of equations. ${g+b=755g+2b=240 $

b

$5g+2b=240$

Substitute$b=75−g$

$5g+2(75−g)=240$

DistrDistribute $2$

$5g+150−2g=240$

SubTermSubtract term

$3g+150=240$

SubEqn$LHS−150=RHS−150$

$3g=90$

DivEqn$LHS/3=RHS/3$

$g=30$