Question

1. earth fitness tracked the usage of cardio equipment to determine how many members used certain pieces of equipment last weekend. the circle graph below shows the results. cardio equipment used: 15% bike, 20% stepper, 42% treadmill, 23% elliptical. how many of the 400 members who used cardio equipment did not use a stepper or a treadmill? a 38 members b 62 members c 152 members d 248 members 2. band members are selling magazines to raise $150 for a field trip. the bar graph below shows the amount six band members have collected so far. paul, jim, and dan are boys and jane, mia, and bryn are girls. magazine sales: amount raised ($) - paul: 20, jane: 45, jim: 10, dan: 25, mia: 15, bryn: 10. by what percent of the total money raised so far do the girls exceed the boys? a. about 10% b. about 20% c. about 7% d. about 15% the cafeteria manager took a poll of 150 students to find the most popular lunch. the circle graph below displays the data. favorite lunch: 18% cheeseburger, 30% pizza, 12% corn dog, 12% tacos, 28% spaghetti. how many more students chose spaghetti and pizza than corn dogs, tacos, and cheeseburgers as their favorite lunch? a. 24 students b. 87 students c. 58 students d. 16 students

Explanation:

Step1: Calculate non - stepper and non - treadmill percentage

The percentage of members who used a stepper is 20% and who used a treadmill is 42%. The percentage of members who did not use a stepper or a treadmill is \(100-(20 + 42)=38\%\).

Step2: Calculate the number of members

There are 400 members who used cardio equipment. So the number of members who did not use a stepper or a treadmill is \(400\times0.38 = 152\).

Step3: Analyze magazine sales for boys and girls

From the bar - graph, Paul raised $25, Jim raised $10, Dan raised $25, so boys raised LXI0. Jane raised $45, Mia raised $15, Bryn raised $10, so girls raised \(45 + 15+10 = 70\). The total money raised is \(60 + 70=130\). The difference between the girls' and boys' amount is \(70 - 60 = 10\). The percentage is \(\frac{10}{130}\times100\approx7.69\%\approx7\%\).

Step4: Calculate lunch preference differences

The percentage of students who chose spaghetti and pizza is \(28\%+30\% = 58\%\). The percentage of students who chose corn dogs, tacos, and cheeseburgers is \(12\%+12\%+18\%=42\%\). The difference in percentage is \(58 - 42=16\%\). The number of students is \(150\times0.16 = 24\).

Answer:

1. C. 152 members
2. C. about 7%
3. A. 24 students