Question

Kevin, dustin snd 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 cards is 93. How many cards dies rach boy have

Answer 1

To solve this problem, you can set up a system of equations using the information given. Then, use a method such as substitution or elimination to solve the system and find the number of cards each boy has.

Step-by-step explanation:

To solve this problem, we need to set up a system of equations. Let's assign variables to the number of cards each boy has: Kevin (K), Dustin (D), and Mike (M). From the information given, we can create the following equations:

K + D = 81

D + M = 96

K + M = 93

We can now solve this system of equations using one of several methods, such as substitution or elimination. Let's use substitution. From the first equation, we can express K in terms of D by subtracting D from both sides: K = 81 - D. We can then substitute this expression for K in the other two equations:

(81 - D) + M = 93

D + M = 96

We now have two equations in terms of a single variable (D), which we can solve simultaneously. Subtracting the second equation from the first, we get (81 - D) - (D + M) = 93 - 96:

81 - 2D - M = -3

Substituting the second equation into the first, we get 81 - 2D - 96 = -3:

-2D - M = -15

We have now simplified the system of equations to:

-2D - M = -15

D + M = 96

At this point, we can solve for D by adding the two equations:

-2D + D + M + M = -15 + 96

-D + 2M = 81

Finally, we can substitute the value of D back into one of the original equations (such as D + M = 96) to solve for M. Once we have the values of D and M, we can use any of the original equations to solve for K. This will give us the number of cards each boy has.

Answer 2

If the sum of Dustin & Kevin's cards are 81 then you would just need to find Mike's total # of cards then add those two # and then divide that # by 3 and you should get your answer.