Dalam Sebuah Gedung teater di provinsi Jakarta terdapat 9 baris kursi. Baris pertama berisi 10 kursi, baris kedua berisi 15 kursi, baris ketiga berisi 17 kursi , baris keempat berisi 22 kursi, baris kelima berisi 24 kursi dan seterusnya mengikuti pola yang sama.Apabila dalam suatu pertunjukan teater hanya terisi setengah dari total kapasitas Gedung dan harga tiket pertunjukan adalah Rp. 50.000 per orang, total pendapatan dari pertunjukan tersebut adalah...Select one:a. Rp. 5.300 .000b. Rp. 5.800 .000c. Rp. 6.050 .000d. Rp. 5.050 .000e. Rp. 5.550 .000
Q. Dalam Sebuah Gedung teater di provinsi Jakarta terdapat 9 baris kursi. Baris pertama berisi 10 kursi, baris kedua berisi 15 kursi, baris ketiga berisi 17 kursi , baris keempat berisi 22 kursi, baris kelima berisi 24 kursi dan seterusnya mengikuti pola yang sama.Apabila dalam suatu pertunjukan teater hanya terisi setengah dari total kapasitas Gedung dan harga tiket pertunjukan adalah Rp. 50.000 per orang, total pendapatan dari pertunjukan tersebut adalah...Select one:a. Rp. 5.300 .000b. Rp. 5.800 .000c. Rp. 6.050 .000d. Rp. 5.050 .000e. Rp. 5.550 .000
Determine pattern: Determine the pattern of the increase in the number of seats per row.We are given the number of seats in the first five rows: 10, 15, 17, 22, 24. We need to find the pattern of increase to determine the number of seats in the remaining rows.From row 1 to row 2, the increase is 5 seats (15−10).From row 2 to row 3, the increase is 2 seats (17−15).From row 3 to row 4, the increase is 5 seats (22−17).From row 4 to row 5, the increase is 2 seats (24−22).It seems that the pattern is an alternating increase of 5 and 2 seats.
Calculate seats per row: Calculate the number of seats in each of the remaining rows.Using the pattern from Step 1, we can determine the number of seats in rows 6 to 9.Row 6: 24 (previous row) +5 (increase) =29 seatsRow 7: 29 (previous row) +2 (increase) =31 seatsRow 8: 31 (previous row) +5 (increase) =36 seatsRow 9: 36 (previous row) +2 (increase) =38 seats
Total seats calculation: Calculate the total number of seats in the theater.We add the number of seats from all rows to find the total capacity.Total seats = 10 (row 1) + 15 (row 2) + 17 (row 3) + 22 (row 4) + 24 (row 5) + 29 (row 6) + 31 (row 7) + 36 (row 8) + 38 (row 9)Total seats = 222
Calculate filled seats: Calculate the number of seats filled during the performance.Since only half of the total capacity is filled, we divide the total number of seats by 2.Seats filled = 2222Seats filled = 111
Total revenue calculation: Calculate the total revenue from the performance.We multiply the number of seats filled by the price per ticket to find the total revenue.Total revenue =Seats filled×Price per ticketTotal revenue =111×Rp. 50,000Total revenue =Rp. 5,550,000