Blake Scott leaves $\frac { 2 } { 5 }$ of his estate to the Boy Scouts, $\frac { 1 } { 7 }$ to the local cancer fund, and the rest to his church. What fractional part of the estate does the church receive?

Question

Quizplus · Accepted Answer

If Blake Scott donates $\frac { 2 } { 5 }$ and $\frac { 1 } { 7 }$ of his estate to the Boy Scouts and the local cancer fund, respectively, then he has donated a total of $\frac { 19 }{ 35 }$ of his estate. Thus, the church receives $\frac { 16 }{ 35 }$ of his estate. Therefore, the answer is $\boxed{\textbf{(A)}\ \frac{16}{35}}$.

Blake Scott Leaves 25\frac { 2 } { 5 }52​ Of His Estate to the Boy Scouts

Blake Scott Leaves $\frac { 2 } { 5 }$ Of His Estate to the Boy Scouts