Renee wants to solve the system of equations. Which number can she multiply the first equation by so that when the two equations
2 answers:
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Answer:
The cost of a piece of dark meat is <u>$0.70</u> and the cost of a piece of white meat is <u>$0.85</u>.
Step-by-step explanation:
Given:
At Clucker's Chicken, a bucket of 4 pieces of dark meat and 5 pieces of white meat costs 7.05.
A bucket of 3 pieces of dark meat and 8 pieces of white meat costs 8.90.
Now, to find the cost of a piece of dark meat and the cost of a piece of white meat.
Let the cost of a piece of dark meat be
And the cost of a piece of white meat be
A bucket of 4 pieces of dark meat and 5 pieces of white meat costs $7.05.
So,
.......(1)
Now, a bucket of 3 pieces of dark meat and 8 pieces of white meat costs $8.90.
Substituting the value of from equation (1) we get:
<em>Multiplying both sides by 4 we get:</em>
<em>Subtracting both sides by 21.15 we get:</em>
<em>Dividing both sides by 17 we get:</em>
<u>The cost of a piece of white meat = $0.85.</u>
Now, substituting the value of in equation (1) we get:
<u>The cost of a piece of dark meat = $0.70.</u>
Therefore, the cost of a piece of dark meat is <u>$0.70</u> and the cost of a piece of white meat is <u>$0.85</u>.