Photo AI

Samantha is estimating the number of people at a concert - Junior Cycle Mathematics - Question 6 - 2014

Question icon

Question 6

Samantha-is-estimating-the-number-of-people-at-a-concert-Junior Cycle Mathematics-Question 6-2014.png

Samantha is estimating the number of people at a concert. There are people sitting and people standing at the concert. (a) Samantha counts 52 rows of seats. She est... show full transcript

Worked Solution & Example Answer:Samantha is estimating the number of people at a concert - Junior Cycle Mathematics - Question 6 - 2014

Step 1

Estimate total number of people sitting

96%

114 rated

Answer

To find the total number of people sitting, we first round the number of people in each row to the nearest 10. Since Samantha estimates that there are 19 people in each row, we round this to 20.

Next, we calculate the total number of seats:

52extrowsimes20extpeople/row=1040extpeople52 ext{ rows} imes 20 ext{ people/row} = 1040 ext{ people}

Therefore, the estimated total number of people sitting is 1000.

Step 2

Estimate total number of people standing

99%

104 rated

Answer

To estimate the number of people standing, we multiply the standing space by the average number of people per square metre.

Given the area is 600 m² and there are 2 people per square metre, we calculate:

600extm2imes2extpeople/m2=1200extpeople600 ext{ m}^2 imes 2 ext{ people/m}^2 = 1200 ext{ people}

Thus, the estimated total number of people standing is 1200.

Step 3

Estimate total amount of money paid for tickets

96%

101 rated

Answer

To find the total amount paid for tickets, we can use the estimates from parts (a) and (b).

  1. Estimated people sitting: 1000. Cost for sitting tickets: €15
  2. Estimated people standing: 1200. Cost for standing tickets: €10

The total cost can be calculated as follows:

(1000imes15)+(1200imes10)=15000+12000=27000(1000 imes 15) + (1200 imes 10) = 15000 + 12000 = 27000

Thus, the estimated total amount of money paid for tickets is €27000.

Join the Junior Cycle students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;