In a parking lot there are two types of vehicles, two wheelers and four wheelers. The total number of the vehicles in the parking lot is 200. When the number of the wheels of all the vehicles is counted it is counted to be 580. Find the total number of the four wheeler vehicles in the parking lot ?
Question
In a parking lot there are two types of vehicles, two wheelers and four wheelers. The total number of the vehicles in the parking lot is 200. When the number of the wheels of all the vehicles is counted it is counted to be 580. Find the total number of the four wheeler vehicles in the parking lot ?
Solution
Let's denote the number of two wheelers as x and the number of four wheelers as y.
From the problem, we have two equations:
-
x + y = 200 (since the total number of vehicles is 200)
-
2x + 4y = 580 (since the total number of wheels is 580)
We can simplify the second equation to x + 2y = 290 by dividing the entire equation by 2.
Now we have:
x + y = 200 x + 2y = 290
By subtracting the first equation from the second, we get y = 90.
Substitute y = 90 into the first equation, we get x = 200 - 90 = 110.
So, there are 90 four-wheeler vehicles in the parking lot.
Similar Questions
There are 30 tricycles and cars parked outside a shopping mall.There are a total of 98 wheels altogether.How many tricycles are there?
Select the correct answerA schoolyard contains only bicycles and 4 wheeled wagons. On Tuesday, the total number of wheels in the schoolyard was 166. What could the possible number of bicycles?radio_button_unchecked14radio_button_unchecked10radio_button_unchecked12radio_button_unchecked11
A very big story.on Tuesday college parking place have only 4wheelers & bicycles,total no of wheels was 182,yhen what is the possible no of bicycles?a)20 b 19 c 18 d 17
Aaron's dad has a pickup truck and his mom has an SUV. Last week, his dad traveled 84 miles in the pickup truck on 4 gallons of gas. His mom traveled 72 miles in the SUV on 3 gallons of gas. How many more miles per gallon did the SUV get than the truck?
The number of child tickets sold was 4 times the number of adult tickets sold.The total amount collected from the sale of all tickets was $6000.How many more child tickets were sold?Ans: _____________
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.