Math, asked by Gayathricute4631, 9 months ago

There are bicycles and tricycles parked along a road. There are 29 wheels and 11 riders. How many bicycles are there?

Answers

Answered by shubhamsri7670
4

Answer:

let number of bicycles is x

and number of tricycles is y

2x+3y = 29----------------------------eq.1

x+y = 11---------------------------------eq.2

eq.2 multiplied by 3

3x+3y=33------------------------------eq.3

eq.1 - eq.2 => 2x+3y -3x-3y =29 -33

                  => -x=-4

                  => x=4 put this value in eq.2

and we get => y = 7

therefore

Bicycles  = 4

Tricycles = 7

             

Answered by jaseenanoufal2022sl
0

Answer:

There are 4 bicycles.

Step-by-step explanation:

Given: There are some bicycles and tricycles parked.

           Total number of wheels = 29 and riders = 11.

To find: The number of bicycles.

Solution: There are totally 29 wheels for both bicycle and tricycle.

we can split this 29  wheels as 21+8. 29 can also be splitted in many ways but number of riders won't be 11.

Bicycle has 2 wheels and tricycle has 3 wheels.

So we will divide this 21 and 8 using 3 and 2.

21 ÷ 3 = 7 and 8 ÷ 2= 4. That means 7 tricycles with 21 wheels and 4 bicycles with 8 wheels. Thus there are 7+4=11 riders.

Therefore, there are 4 bicycles.

Another method:

Let number of bicycles be a and number of tricycles be b.

Total number of riders is 11   ⇒ a+b = 11----- eq.(1)

total number of wheels is 29 ⇒2a+3b=29---eq.(2)

subtracting eq.(2) from (1), we get

eq.(1)×2 , 2a+2b =22

eq.(2) ,   2a+3b = 29

                     -b = -7

                      b = 7

So number of tricycles is 7.

put b=7 in eq.(1),

a +7 = 11 ⇒ a = 11 - 7 = 4.

Therefore number of bicycles is 4.

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