Question

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.

Answer 1

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 ;)

Answer 2

how did you get 3 16 8 and 15

Answer 3

{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?

Answer 4

does 2x repersent the second friend

Answer 5

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....

Answer 6

okay thanks

Answer 7

you're welcome :)