It can be concluded that the intended purpose of the missouri compromise was to a. give the free states more votes in the electoral college than the slave states. b. keep the balance of power in the senate between the slave states and free states. c. change the balance of power given to the free states and slave states in the constitution. d. allow the slave states to have more influence in the house of representatives than the free states.

 B. keep the balance of power in the Senate between the slave states and free states.

Further detail:

 The Missouri Compromise (1820) admitted Missouri into the Union as a slave state with Maine being added at the same time to keep the balance of slave and free states equal.  It also prohibited any future slave states north of the latitude line 36 1/2 degrees north of the equator in territories of the Louisiana Purchase, with the exception of Missouri (north of that line) being admitted as a slave state.  

B. keep the balance of power in the Senate between the slave states and free states.

the three-fifths compromise was proposed by james wilson and roger sherman, who were both delegates for the constitutional convention of 1787. however, the three-fifth compromise has its roots further back in history, dating back to the continental congress in 1783. the compromise was a result of the apportionment of taxes being related to land values.

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really and truely i dont know sorry