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maksim [4K]
3 years ago
11

I need help with these question! Please do step by step :)

Mathematics
1 answer:
kodGreya [7K]3 years ago
6 0

Answer:

Number of bags of chocolate chip cookies = x = 0.133 bags

Number of bags of walnuts = 7.7 bags

Step-by-step explanation:

Chocolate chip cookies = 12oz per bag = $3

Walnuts = 4oz per bag = $2

She need 3 pounds of Chocolate chip cookies and Walnuts

Let us represent

Number of bags of chocolate chip cookies = x

Number of bags of walnuts = y

She need 3 pounds of Chocolate chip cookies and Walnuts

Hence,

We have to convert oz (ounces) to pounds

For chocolate chip cookies

1 oz = 0.0625 pound

12 oz = x

Cross Multiply

x = 12 × 0.0625 pound

x = 0.75pound

For Walnuts

1 oz = 0.0625 pound

4 oz = x

Cross Multiply

x = 4 × 0.0625 pound

x = 0.25pound

Hence,

0.75 pound = $3

0.25 pounds = $2

She can only spend $15

Chocolate chip cookies = 12oz per bag = $3

Walnuts = 4oz per bag = $2

Hence,

0.75x + 0.25y = 3..... Equation 1

3x + 2y = 15.... Equation 2

Multiply Equation 1 by 2 and Equation 2 by 0.25

1.5x + 0.5y = 3... Equation 3

1.5x + 4y = 30.... Equation 4

Subtract Equation 3 from 4

3.5y = 27

y = 27/3.5

y = 7.7 bags

Solving for x using Equation 2

3x + 2y = 15.... Equation 2

3x + 2(7.7) = 15

3x + 15.4 = 15

3x = 0.4

x = 0.4/3

x = 0.133 bags

Number of bags of chocolate chip cookies = x = 0.133 bags

Number of bags of walnuts = 7.7 bags

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