Joe and Lynn earned 56 tickets for good Behavior in class. Lynn earned six time as many tickets as Joe. how many tickets did Joe and Lynn earn?

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25-10-2016
Mathematics

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Joe and Lynn earned 56 tickets for good Behavior in class. Lynn earned six time as many tickets as Joe. how many tickets did Joe and Lynn earn?

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devinp2267 devinp2267 · Answer 1 · 2016-10-25T01:19:02+02:00

j=Joe and l=Lynn

Set up a system of equations:
(one for total) l+j=56
(one to show Lynn's tickets) l=6j (this means that Lynn's tickets is equal to 6 times Joe's tickets.)
Change l in the first equation with the information from the second equation, so no 6j+j=56. Now combine like terms, so the equation now looks like 7j=56. divide 56 by 7 to equal 8. Now we know that Joe has 8 tickets.

Now take l=6j and since we know that j=8, we can solve for l. l=6x8. Lynn has 48 tickets.

So we have the answer, Lynn has 48 tickets and Joe has 8 tickets.