Megan has $50 and saves $5.50 each week. Connor has $18.50 and saves $7.75 each week. After how many weeks will Megan and Connor have saved the same amount?

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Answer 1 · 2018-06-21T17:40:37

#color(blue)(14 " weeks")#

Let #x="the number of weeks"#

For Megan we have:

#50+5.5x#

For Connor we have:

#18.5+7.75x#

For both to have the same amount:

#50+5.5x=18.5+7.75x#

Solve for #x#:

#2.25x=31.5#

#x=31.5/2.25=14#

It will take 14 weeks for them to save the same amount.