In 1912, the original candidates for united states president were woodrow wilson and william h. taft. because of party disagreements, former president theodore roosevelt also decided to run and ended up splitting the vote with his fellow republican and incumbent, taft. in a certain state, the ratio of the popular vote of taft to roosevelt to wilson was approximately 35: 41: 63. if approximately 208,500 votes were cast in that state for the three candidates altogether, how many were cast for taft?

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

what chart am i supposed to follow?

c = 0.429t

step-by-step explanation:

the constant rate at which carlos harvests cassava is 35 minutes per 15 cassavas 15/35 = 0.429 cassava per minute

therefore, an equation that models the number of cassava (c) that harvest carlos in a time (t) is the following:

where t is the time in minutes.

this means that when 35 minutes have elapsed 15 cassava have been harvested, at 70 minutes 30 cassava have been harvested and so on.