How many pounds of butterscotch candy at $2.45 per pound must the Candy Castle mix with caramel candy at a dollar and $1.35 per
Question:
Answers
1 pound of butterscotch candy is mixed with 4 pounds of caramel candy.
Step-by-step explanation:
Let x be the amount of butterscotch candy and y be the amount of caramel candy in pounds.
Total amount of mixture = 5 pounds
Thus, we can write the equation:
[tex]x+y = 5[/tex]
Cost of butterscotch candy = $2.45 per pound
Cost of caramel candy = $1.35 per pound
Cost of mixture = $1.57 per pound
Thus, we can write the equation:
[tex]2.45x +1.35y = 1.57(x+y)\\2.45x +1.35y = =7.85[/tex]
Solving the two equation by substitution, we get,
[tex]2.45(5-y) +1.35y = 7.85\\12.25 - 1.1y = 7.85\\\Rightarrow y = 4\\\Rightarrow x = 1[/tex]
Thus, 1 pound of butterscotch candy is mixed with 4 pounds of caramel candy.
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step-by-step explanation:
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