High School

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Mrs. Emmons wants to decorate her room with leaves and turkeys for Thanksgiving. The number of leaves is twenty more than twice the number of turkeys. The number of leaves is ten less than four times the number of turkeys. How many of each type of decoration did she use?

A) 20 turkeys and 60 leaves
B) 40 turkeys and 80 leaves
C) 60 turkeys and 100 leaves
D) 80 turkeys and 120 leaves

Answer :

The system of equations derived from the problem yields 15 turkeys and 50 leaves, which does not match the provided options. This suggests there may be a typo or mistake in the problem or the options given.

The student's schoolwork question involves solving a system of linear equations to determine the number of leaves and turkeys Mrs. Emmons used to decorate her room for Thanksgiving. Let's denote the number of turkeys as T and the number of leaves as L. According to the problem, we have two equations:

L = 2T + 20

L = 4T - 10

We can set these equations equal to each other since they both represent the value of L:

2T + 20 = 4T - 10

Solving for T, we subtract 2T from both sides:

20 = 2T - 10

Adding 10 to both sides gives us:

30 = 2T

Dividing both sides by 2, we find:

T = 15 turkeys

Now, we can plug this value into one of the original equations to find L. Using the first equation:

L = 2(15) + 20

L = 30 + 20

L = 50 leaves

Therefore, Mrs. Emmons used 15 turkeys and 50 leaves to decorate her room. This answer is not listed in the options provided, there might be a typo or mistake in the problem or the given options.

Learn more about system of equations here:

https://brainly.com/question/21620502

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