If mike Kevin and Dustin all collect baseball cards and Dustin and Kevin has 81 altogether and Dustin and Mike have 96 altogether and Kevin and mike have 93 together how many do each of the boys have?

Dustin has 42 cards.

Mike has 54 cards.

Kevin has 39 cards

Step-by-step explanation:

subtract (Dustin + Mike) – (Dustin + Kevin) or 96 – 81.

Think of it like

Dustin + Mike – Dustin – Kevin

Dustin – Dustin + Mike – Kevin

Mike – Kevin

Since 96 – 81 = 15, Mike – Kevin = 15

Add (Kevin + Mike) + (Mike – Kevin) or 93 + 15.

Think of it like...

Kevin + Mike + Mike – Kevin

Kevin – Kevin + Mike + Mike

Mike + Mike

Since 93 + 15 = 108, Mike + Mike = 108. If you divide, Mike had 54 cards. That means that you can find Kevin’s cards by using 93 – 54 or 39. You can then find Dustin’s cards by using 81 – 39 = 42.

Check:

Dustin’s cards + Kevin’s cards = 42 + 39 = 81

Dustin’s cards + Mike’s cards = 42 + 54 = 96

Mike’s cards + Kevin’s cards = 54 + 39 = 93

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3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!