SOLUTION: FIND ALL POSSIBLE SOLUTIONS Shopping for gifts Last Christmas, Miriam Bought 4 More DVDs Than GAMES and 3 times as many CDs and GAMES combined. Altogether she bought 15 of the

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: FIND ALL POSSIBLE SOLUTIONS Shopping for gifts Last Christmas, Miriam Bought 4 More DVDs Than GAMES and 3 times as many CDs and GAMES combined. Altogether she bought 15 of the       Log On


   

Question 839008: FIND ALL POSSIBLE SOLUTIONS
Shopping for gifts Last Christmas, Miriam Bought 4 More DVDs Than GAMES and 3 times as many CDs and GAMES combined. Altogether she bought 15 of the Three Items. How many of each did she buy?


Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
d = number of DVDs
g = number of games
c = number of CDs

d = g + 4 = 3(c + g)
d + c + g = 15

Substitute d into the second equation.

(g + 4) + c + g = 15
c + 2g = 11

3(c + g) + c + g = 15
4c + 4g = 15

Use any method (substitution, elimination) to solve for c or g. We will use substitution: c = 11 - 2g.

4(11 - 2g) + 4g = 15
44 - 8g + 4g = 15
-4g = -29

The solution is not an integer.