Problem Solving Baseball Cards Ms. Borg
Kevin, Dustin, and Mike collect baseball cards.
Together
Dustin and Kevin have 81 cards.
If Dustin and Mike combined their cards, they would total 96.
The sum of Kevin's and Mike's cards is 93.
How many cards does each boy have?
Be sure to explain how you got your answer and show how you know it works.
1) K + D = 81
2) D + M = 96 also means D = 96-M
3) K + M = 93 ; ALSO MEANS M = 93-K
Substitute
FROM 1) K = 81-D
FROM 2)
D + M = 96 SUBSTITUTE TO 3 BELOW
K + M = 93
D - K = 3 MEANS D = 3 + K
+ K = +K
D = 3 +K
SUBSTITUTE INTO 1
K + 3 + K = 81
2K + 3 = 81
2K = 78; K = 39
FROM (3) M = 93-K; M = 54
From (2) D = 96-M; D = 42
Ans.
Together
Dustin and Kevin have 81 cards.
If Dustin and Mike combined their cards, they would total 96.
The sum of Kevin's and Mike's cards is 93.
How many cards does each boy have?
Be sure to explain how you got your answer and show how you know it works.
1) K + D = 81
2) D + M = 96 also means D = 96-M
3) K + M = 93 ; ALSO MEANS M = 93-K
Substitute
FROM 1) K = 81-D
FROM 2)
D + M = 96 SUBSTITUTE TO 3 BELOW
K + M = 93
D - K = 3 MEANS D = 3 + K
+ K = +K
D = 3 +K
SUBSTITUTE INTO 1
K + 3 + K = 81
2K + 3 = 81
2K = 78; K = 39
FROM (3) M = 93-K; M = 54
From (2) D = 96-M; D = 42
Ans.
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