Question

the following bar chart shows the number of different types of animals at two county fairs. fair x had a total of 645 animals, and fair y had a total of 590 animals. which of the following statements is supported by the bar chart? a the total number of cows, pigs, and horses combined is less at fair x than at fair y. b fair x has at least 20 more chickens than fair y. c at fair x, the number of sheep is twice the number of horses. d the percentage of all animals at fair y that are goats is equal to the percentage of all animals at fair x that are goats.

Explanation:

Step1: Analyze Option A

Estimate the number of cows, pigs, and horses at Fair X: \(50 + 60+80 = 190\).
Estimate the number of cows, pigs, and horses at Fair Y: \(60+80 + 40=180\).
Since \(190>180\), Option A is incorrect.

Step2: Analyze Option B

Estimate the number of chickens at Fair X: \(90\).
Estimate the number of chickens at Fair Y: \(75\).
\(90 - 75=15<20\), Option B is incorrect.

Step3: Analyze Option C

Estimate the number of sheep at Fair X: \(135\).
Estimate the number of horses at Fair X: \(80\).
\(135
eq2\times80 = 160\), Option C is incorrect.

Step4: Analyze Option D

Estimate the number of goats at Fair X: \(100\). Percentage of goats at Fair X: \(\frac{100}{645}\approx0.155\).
Estimate the number of goats at Fair Y: \(95\). Percentage of goats at Fair Y: \(\frac{95}{590}\approx0.161\approx0.155\) (approximate values considering bar - chart estimations).

Answer:

D. The percentage of all animals at fair Y that are goats is equal to the percentage of all animals at fair X that are goats.