Devin bought boxes of thank you cards and get well cards. The thank you cards came in boxes of 4 and the get well cards came in boxes of 6. Devin bought 8 boxes and got a total of 36 cards. How many boxes of each type of card did he buy
No need to guess and check....we can solve directly
Let the boxes of thank you cards = x
Let the boxes of get well cards = 8 - x
So we can solve this
4x + 6 ( 8 - x) = 36 simplify
4x + 48 - 6x = 36
-2x + 48 = 36 subtract 48 from both sides
-2x = -12 divide both sides by -2
x =6 = boxes of thank you cars
8 - 6 = 2 boxes of get well cards