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Paula bought boxes of thank you cards and get well cards. The thank you cards came in boxes of 5 and the get well cards came in boxes of 4. Paula bought 9 boxes and got a total of 41 cards. How many boxes of each type of card did she buy?
 

​ boxes of thank you cards_____

 

​ boxes of get well cards _____

 Nov 14, 2022
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Paula bought boxes of thank you cards and get well cards. The thank you cards came in boxes of 5 and the get well cards came in boxes of 4. Paula bought 9 boxes and got a total of 41 cards. How many boxes of each type of card did she buy?     

 

           call a box of Thank you cards "T"     

           call a box of Get well cards "G"     

 

           T + G  =  9             –>     G = 9 – T     (eq 1)     

           5T + 4G  =  41                                    (eq 2)     

 

           5T + 4 (9 – T)  =  41     

           5T + 36 – 4T  =  41     

                              T  =  41 – 36     

                              T  =  5     

 

                       T + G  =  9     

                       5 + G  =  9     

                             G  =  9 – 5     

                             G  =  4     

.     

 Aug 16, 2025

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