Kevin sold 2 unicycles and 1 bicycle for a total of $110. Greg sold 4 unicycles and 3 bicycles for a total cost of $268. What is the cost of 1 bicycle?

Question

anonymous · Answer

are there options?

jziggy · Answer

You have 2 equations and 2 unknowns, let unicycle = u and bicycle = b
2u + 1b = 110
4u + 3b = 268

anonymous · Answer

a. $27
b. $31
c. $48
d. $79

jziggy · Answer

using the first equation, b = 110 - 2u 
if you substitute that into the 2nd equation
4u + 3(110 - 2u) = 268
4u + 330 - 6u = 268
-2u = -62
u = 31
substitute that back into the first equation to get, b = 110 - 2(31)
b = 48

anonymous · Answer

okay thank you! so like you had to combine the two equations then?

jziggy · Answer

Yes, I used the substitution method, which is to solve for one variable in terms of the other and then substitute it into the other equation giving you only one variable to work with.

anonymous · Answer

b=$48 
type into wolfram like this: 2u+1b=110 and 4u+3b=268