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Gelneren [198K]
3 years ago
12

6) You decide to buy food for your baseball team. Hamburgers cost $3.50 and hotdogs cost $2.50. After buying 22 items, the total

cost is $68. How many hotdogs did you buy? How many hamburgers did you buy?​
Mathematics
2 answers:
Yuliya22 [10]3 years ago
7 0

Answer:

13 hamburgers and 9 hot dogs

Step-by-step explanation:

masya89 [10]3 years ago
3 0

Answer:

13 hamburgers

9 hotdogs

I see the person that also gave you an answer never explained how they got the answer.  I thought you might like an explanation

Step-by-step explanation:

Let x = no. of hamburgers

     y = no. of hotdogs

(1)    x + y = 22              (2)      3.5x + 2.5y = 68

            y = 22 - x                    35x + 25y = 680

                                                35x + 25(22 - x) = 680

                                                35x + 550 - 25x = 680

                                                 10x + 550 = 680

                                                              10x = 130

                                                                  x = 13 hamburgers

           y = 22 - x = 22 - 13 = 9 hotdogs

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\mathrm{Multiply\:}3x-1\mathrm{\:by\:}7x:\:21x^2-7x\\\mathrm{Subtract\:}21x^2-7x\mathrm{\:from\:}21x^2-13x+5\mathrm{\:to\:get\:new\:remainder}\\\\\mathrm{Remainder}=-6x+5

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