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- anonymous

matthhew loaned three friends a total of $27. all he can remember is that he loaned the second friend $5 more than the first and the third friend twice as much as the second. write and solve an equation to detemine how much he loaned each friend.

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- anonymous

- schrodinger

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- anonymous

27$ = first + second + third
second = first + 5$
third = 2 * second = 2 * (first + 5$)
27$ = first + (first + 5$) + 2*(first + 5$)
27$ = 4 first + 15
12$ = 4 first
3$ = first
second = 3$ + 5$ = 8$
third = 2 * 8$ = 16$
check again:
27$ = 3$ + 8$ + 16$
looks good to me ;)

- anonymous

how did you get 3 16 8 and 15

- anonymous

{3, 8, 16} is the solution. The 15 in the second row, is cause of:
27$ = first + (first + 5$) + 2*(first + 5$)
27$ = first + first + 5$ + 2*first + 2*5$
27$ = first + first + 2*first + 5$ + 10$
27$ = 4 first + 15
ok?

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- anonymous

does 2x repersent the second friend

- anonymous

no
the second friend got 5$ more than the first - so [first+5$]
the third got double the amount the second got, so 2*[first+5$]
all in all, he loaned first + second + third....

- anonymous

okay thanks

- anonymous

you're welcome :)

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