In a traffic survey, some bikes buses and cars were recorded. 70% of the vehicles were cars and 17% were buses. What percentage were bikes? Show me your work please!

Answers

Answer 1

Answer:

Percent is calculation of quantity per 100 quantity of other thing. The percentage of bikes out of of total surveyed vehicles was 13%

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

$(a)/(100) * b$

Assume that total T number of vehicles were surveyed.

Then, as it is given that 70% of the vehicles were cars and 17% were buses.

So, number of cars = $(T)/(100) * 70 = (7 * T)/(10) = 0.7 * T$

Similarly, the number of buses = $(T)/(100) * 17 = 0.17 * T$

Thus, number of bikes = Total vehicles - number of cars and buses

Number of bikes = T - 0.7T - 0.17T = T(1 - 0.87) = 0.13T

Taking its percentage with total vehicles, let it be x% of total vehicles, then

$0.13T = (T)/(100) * x\n\n\text{Multiplying 100/T on both the sides}\n\n13 = x\nx = 13$

(we could have used short cut that total there is 100%, since number of cars = 70% of total, number of buses = 17% of total, thus

total vehicle's percent being bike = all vehicle (100%) - percent of cars - percent of buses) = (100 - 70 -17)% = 13% )

Thus, the percentage of bikes out of of total surveyed vehicles was 13%

Learn more about percentage here:

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Answer 2

Answer:

Answer:

13%

Step-by-step explanation:

There are three groups: bikes, buses, and cars. The percentages of each must add up to 100%.

bikes + buses + cars = 100%

bikes + 17% + 70% = 100%

bikes + 87% = 100%

bikes = 13%

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Answers

Answer:

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Step-by-step explanation:

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What is greater than 6200 feet or one mile and 900 feet

Answers

One mile is 5280 feet, so when you add 900 to that, it ends up being 6180 feet, so 6200 feet is greater.

We should convert either of them to have the same unit to compare.

1 mile = 5280 feet

Add 1 mile (in feet) to 900 feet.
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