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Algebra 1 help (wordproblems)?
I have to solve this problem, but I really can't figure it out.
Kelly bought games and books. Games costs $6 each while books are only $7 each. If kelly spent $51 and only ended up with 8 items, how many games and books did kelly buy?
Any help's appreciated(: Thanks !
3 Answers
- MattLv 51 decade agoFavorite Answer
6g + 7b = 51
g + b = 8
so
g = 8 - b
6(8 - b) + 7b = 51
48 - 6b + 7b = 51
b = 3
g + 3 = 8
g = 5
- 1 decade ago
buy x books and y games
6y+7x=51
y+x=8, so y=8-x
bring back to the first equation
6y+7x=51
6(8-x)+7x=51
48-6x+7x=51
48+x=51
so x=3, so y=5