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

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) (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.
RELATED QUESTIONS
b. Game Central sells previously owned xbox games for $10 and new xbox games for $55.... (answered by edjones)

Henry bought 32 CDs and DVDs for $1010. The CDs cost $25 each and the DVDs cost $40 each, (answered by ewatrrr)

Americans receive an average of 22 Christmas cards each year. Suppose the number of... (answered by nijneweed)

Miriam and Betty Buy a total of 42 stamps. Miriam bought 6 more stamps then Betty. How... (answered by checkley79)

One number is 5 more than another. five times the smaller equals 4 times the larger. Find (answered by rapaljer)

Sara has a collection of X-Box games and then got 3 more as gifts for her birthday. Her... (answered by rfer)

miriam and betty buy a total of 42 stamps. miriam buys 6 more than betty. how many stamps (answered by solver91311)

Three months ago, Jane had five times as many DVDs as Duncan. Since then they have bought (answered by rothauserc)

Americans receive an average of 22 Christmas cards each year. Suppose the number of... (answered by ewatrrr)