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 Question from Jessie: Michaela and Aleah play on the same basketball team. In one game, Michaela scored one fifth of the teams points and Aleah scored one tenth of the teams points. Together, they scored a total of 42 points. How many points did the team score? I can't figure out how to put together the equation with the given variables. I have to show the work and I also need to know how to make that kind of equation. Thanks!

Hi Jessie,

Suppose the team scored $n$ points. Michaela scored one fifth of these points so Michaela scored

$\frac{1}{5} n \mbox{ points.}$

Aleah scored one tenth of the $n$ points. How many points did Aleah score?

Together they scored 42 points so so the sum of Michaela's and Aleah's points is 42. This gives you an equation in $n.$ Solve for $n.$