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?

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

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

47.28 or 47.2857143

step-by-step explanation:

you just divide 331 by 7 and you get that answer. ( i think so tho)