A survey of 1,700 commuters in New York City showed that 1,130 take the subway, 620 take the bus, and 110 do not take either the bus or the subway.
(a)
How many commuters take both the bus and the subway?
(b)
How many commuters take only the subway?
(a) To find out how many commuters take both the bus and the subway, we need to subtract the number of commuters who do not take either the bus or the subway from the total number of commuters. Therefore, the number of commuters who take both the bus and the subway is 1,700 - 110 = <<1700-110=1590>>1590.
(b) To find out how many commuters take only the subway, we need to subtract the number of commuters who take both the bus and the subway from the total number of commuters who take the subway. Therefore, the number of commuters who take only the subway is 1,130 - 1,590 = <<1130-1590=-460>>-460. However, the negative value is not possible. Therefore, it means that there are 0 commuters who take only the subway.
INCORRECT
Apologies for the incorrect answer. Let's reassess the data.
We know that 1,130 commuters take the subway, 620 take the bus, and 110 do not take either the bus or the subway.
(a) To find out how many commuters take both the bus and the subway, we need to add up the number of commuters who take the subway and the number of commuters who take the bus, and then subtract the total number of commuters from that.
Total commuters = 1,700
Number of commuters who take the subway = 1,130
Number of commuters who take the bus = 620
Number of commuters who take both = (1,130 + 620) - 1,700 = 1,750 - 1,700 = 50
Therefore, 50 commuters take both the bus and the subway.
(b) To find out how many commuters take only the subway, we need to subtract the number of commuters who take both the bus and the subway from the number of commuters who take the subway.
Number of commuters who take only the subway = Number of commuters who take the subway - Number of commuters who take both the bus and the subway
= 1,130 - 50 = 1,080
Therefore, 1,080 commuters take only the subway.