Question

4 rhode island red chicks cost $3.20 each and buckeye chicks cost $3.44 each. a farmer buys 4 rhode island red chicks for every 3 buckeye chicks. they buy 70 chicks in all. what is the total cost of the farmer’s chicks? show your work.

Explanation:

Step1: Find the number of groups

The ratio of Rhode Island Red chicks to Buckeye chicks is \(4:3\), so the total number of parts in the ratio is \(4 + 3=7\). The total number of chicks is 70, so the number of groups is \(\frac{70}{7} = 10\).

Step2: Find the number of each type of chick

For Rhode Island Red chicks: Each group has 4, so the number is \(4\times10 = 40\).
For Buckeye chicks: Each group has 3, so the number is \(3\times10=30\).

Step3: Calculate the cost for each type

Cost of Rhode Island Red chicks: \(40\times\$3.20=\$128\).
Cost of Buckeye chicks: \(30\times\$3.44 = \$103.2\).

Step4: Calculate the total cost

Total cost is the sum of the two costs: \(\$128+\$103.2=\$231.2\).

Answer:

The total cost of the farmer's chicks is \(\$231.2\).