Problema Solution
Nelson and Olivia take part in a memory contest. They are seeing how many words they can memorize in five minutes. Nelson can memorize 20 fewer words than twice as many as Olivia can memorize. The mean number of words they can memorize is 212. How many words can Nelson memorize in five minutes?
Answer provided by our tutors
let
n = the number of words Nelson can memorize
o = the number of words Olivia can memorize
nelson can memorize 20 fewer words than twice as many as Olivia can memorize
n = 2*o - 20
the mean number of words they can memorize is 212
(n + o)/2 = 212
by solving the system of equations
n = 2*o - 20
(n + o)/2 = 212
we find
n = 276 words
o = 148 words
click here to see the step by step solution of the system of equations
Nelson can memorize 276 words in 5 minutes.