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boyakko [2]
2 years ago
7

The local humane society is trying to determine how many racoons there are in a city. They catch and tag 18 raccoons. Later on,

they catch 67 raccoons, and 2 of them are tagged. What is the best estimate of the raccoon population? Answer to the closest whole number.
Mathematics
1 answer:
Murljashka [212]2 years ago
7 0

Answer:

83 racoons

Step-by-step explanation:

18+67- 2

you would subtract the two they found with tags

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Answer:  The price per pound of apples is $ 1.25 and the price per pound of bananas is $ 0.75.

Step-by-step explanation:  Given that lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50 whereas Ari buys 3 pounds of apples and 2 pounds of bananas for a total of $5.25.

We are to find the price per pound of apples and bananas.

The cost per pound of apples is represented by x dollars and the cost per pound of bananas is represented by y dollars.

Then, according to the given information, the system of equations describing the situation is as follows:

5x+3y=8.50~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\3x+2y=5.25~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

Multiplying equation (i) by 2, we have

2(5x+3y)=2\times 8.50\\\\\Rightarrow 10x+6y=17~~~~~~~~~~~~~~~~~~~~~~~~(iii)

and multiplying equation (ii) by 3, we have

3(3x+2y)=3\times 5.25\\\\\Rightarrow 9x+6y=15.75~~~~~~~~~~~~~~~~~~~~~~~~(iv)

To eliminate y, we subtract equation (iv) from equation (iii) and we arrive at

(10x+6y)-(9x+6y)=17-15.75\\\\\Rightarrow x=1.25.

From equation (i), we get

5\times 1.25+3y=8.50\\\\\Rightarrow 6.25+3y=8.50\\\\\Rightarrow 3y=2.25\\\\\Rightarrow y=0.75.

Thus, the price per pound of apples is $ 1.25 and the price per pound of bananas is $ 0.75.

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3 years ago
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Answer:

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Step-by-step explanation:

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