Brain Teasers
Soccer Seats
The Centerville Soccer Field has 2 sections of seats, with 20 rows in each section. Each section has the same number of seats. There are fewer seats in the first row (row A) than in the last row (row T). The number of seats increases from row A to row T according to a pattern. The table below shows the number of seats for rows G through O of one section. Seats for the coming event to raise money for a homeless shelter sell for $3 each. All expenses will be paid by the local bank.
Row Number of Seats
G 72
H 75
I 78
J 83
K 86
L 89
M 94
N 97
O 100
If all the seats are sold, how much money will be raised?
Row Number of Seats
G 72
H 75
I 78
J 83
K 86
L 89
M 94
N 97
O 100
If all the seats are sold, how much money will be raised?
Hint
Start by using the chart to establish the pattern of the seats to solve this multi-step problem.Answer
First, the number of seats increases in each row by 3, 3, then 5. Working backward from row G, subtract 5, then 3, then 3, and so forth. Working ahead from row O, add 5, then 3, then 3, and so forth. See the chart below for the results.Second, add the number of seats in each row to get the total seats per section: 86*21-122=1,684.
Third, multiply the number of seats in each section by 2 for the total seats in the stadium: 3,368.
Last, multiply the total number of seats by 3 for the amount of money raised: $10,104.
Row Number of Seats
A 50
B 53
C 56
D 61
E 64
F 67
G 72
H 75
I 78
J 83
K 86
L 89
M 94
N 97
O 100
P 105
Q 108
R 111
S 116
T 119
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