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A man has 440 coins and notes consisting of 50 Kobo notes and 10 Kobo pieces. If the total value of the money is N60, how many 50 Kobo notes does he have?
Mathematics
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Step-by-step solution
3 stepsDefine variables and set up the equations.
Let be the number of 50 Kobo notes.
Let be the number of 10 Kobo pieces.
The total number of notes and pieces is 440:The total value is N60. Since 1 Naira (N) = 100 Kobo, N60 is equal to Kobo.
The total value equation is:Express one variable in terms of the other.
From equation (1), we can express in terms of :
Substitute this expression into equation (2) and solve for .
Substitute into :
Combine the terms with :
Subtract 4400 from both sides:
Divide by 40:
The number of 50 Kobo notes is 40.
The final answer is .
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