Jimmy's Chocolate shop sells two different fudge bars. The dark chocolate fudge bars sell for $5 per pound and the milk chocolate fudge bars sell for $4 per pound. You purchased a combination of these bars for your family and friends and your bill came to $150. This scenario can be modeled by the equation 5d + 4m = 150. Which of the following is not a possible combination of dark chocolate fudge bars and milk chocolate fudge bars? Answer 12 dark bars and 23 milk bars 14 dark bars and 20 milk bars 6 dark bars and 30 milk bars
You just plug in the values in each solution set to see if it equals 150. So for the first solution, plug in 12 for d and 23 for m. So you now have (12)(5)+(23)(4)=150 This reduces to 60+92=150 Since 152 does not equal 150, it isn't a solution. Check the other possible solutions You have (14)(5)+(20)(4)=150 This reduces to 70+80=150 Since 150=150 this is a solution. Checking the last possible solution. You have (6)(5)+(30)(4)=150 This reduces to 30+120=150 Since 150=150 this is a solution, also.
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