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14 November, 03:05

A store is having a sale on walnuts and chocolate chips. For 2 pounds of walnuts and 12 pounds of chocolate chips, the total cost is $33. For 5 pounds of walnuts and 3 pounds of chocolate chips, the total cost is $15. What is the total cost for each pound of walnuts and each pound of chocolate chips? Hey A store is having a sale on walnuts and chocolate chips. For 2 pounds of walnuts and 12 pounds of chocolate chips, the total cost is $33. For 5 pounds of walnuts and 3 pounds of chocolate chips, the total cost is $15. What is the total cost for each pound of walnuts and each pound of chocolate chips?

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  1. 14 November, 03:33
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    The total cost of pound of walnut and a pound of chocolate together is $4

    Step-by-step explanation:

    Let us assume the cost of walnut as $w per pound

    Similarly, let us assume the cost of chocolate at $c per pound

    Putting the above assumptions in the given conditions mentioned in the question-

    Condition 1 - the cost of 2-pound walnut and 12-pound chocolate is $ 33

    The 2-pound walnut cost can be written as 2w (since we have assumed that walnut cost $w/pound)

    Similarly, 12-pound chocolate would cost 12c

    2w+12c=33 Equation 1

    Condition 2 - the cost of 5-pound walnut and 3-pound chocolate is $15

    5-pound walnut cost 5w and 3-pound chocolate cost 3c which equals $15

    5w+3c=15 Equation 2

    Comparing Equation 1 and Equation 2

    We multiply Equation 2 with a factor of 4

    Hence the equation 2 becomes - 20w+12c=60 (this was done to make either of the variable's coefficient equal)

    Now subtracting Equation 1 from Equation 2

    20w+12c=60 - (2w + 12c=33)

    We get 20w-2w=60-33 (12c gets cancelled out)

    18w=27

    w=$ 1.5 (cost of walnut is $1.5/pound)

    putting the value of w in either of the equation we get c as 2.5$

    Hence the total cost of one pound each of walnut and chocolate is $2.5+$1.5 = $4
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