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At billy's school they have some bikes and some trikes with a total of 57 wheels. the number of bikes is three less than three times the number if trikes. How many bikes and trikes are there?

Guest Feb 27, 2015

Best Answer 

 #1
avatar+26397 
+5

b = number of bikes,  t = number of trikes

 

2*b + 3*t = 57       wheels

b = 3*t - 3          

 

Substitute the 2nd equation into the first

2*(3*t - 3) + 3*t = 57 or

9t - 6 = 57 or

9t = 63  or

t = 7

 

Put this back into the 2nd equation;

b = 3*7 - 3 or

b = 18

 

So, in total: b + t = 25

.

Alan  Feb 27, 2015
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1+0 Answers

 #1
avatar+26397 
+5
Best Answer

b = number of bikes,  t = number of trikes

 

2*b + 3*t = 57       wheels

b = 3*t - 3          

 

Substitute the 2nd equation into the first

2*(3*t - 3) + 3*t = 57 or

9t - 6 = 57 or

9t = 63  or

t = 7

 

Put this back into the 2nd equation;

b = 3*7 - 3 or

b = 18

 

So, in total: b + t = 25

.

Alan  Feb 27, 2015

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