SOLUTION: Algebraic equation A woman bought 50 yams at oyingbo market in Lagos some of the yams cost 40naira each whilst the remaining cost 50naira each if the wowan spent 2200naira altoge

Algebra ->  Human-and-algebraic-language -> SOLUTION: Algebraic equation A woman bought 50 yams at oyingbo market in Lagos some of the yams cost 40naira each whilst the remaining cost 50naira each if the wowan spent 2200naira altoge      Log On


   

Question 1161138: Algebraic equation
A woman bought 50 yams at oyingbo market in Lagos some of the yams cost 40naira each whilst the remaining cost 50naira each if the wowan spent 2200naira altogether find how many of each yam was bought?
Answer by ikleyn(52914) About Me  (Show Source):
You can put this solution on YOUR website!
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You may start with this system of two equations in two unknowns


      x +   y =   50    (1)

    40x + 50y = 2200    (2)


Then you can solve it EITHER by Substitution method, OR by Elimination method.


Alternatively, you may start from this single equation for one unknown

    40x + 50*(50-y) = 2200    (3).


From the last equation, you have

    x = %282200-50%2A50%29%2F%2840-50%29 = 30.


ANSWER.  30 items by 40 naira  and  (50-30) = 20 items by 50 naira.


CHECK.  30*40 + 20*50 = 2200  naira, total.   ! Correct !

Solved.