Wayne has 20 pieces of notes. The type of denominations are $2, $5 and $10. The number of $2notes and $10 notes is the same. The total value of these notes is $110. How many pieces of denomination does he have?
Let the number of $2 and $10 notes = x
Then the number of $5 notes = 20 - 2x
So we have this equation
2x + 5 (20 - 2x) + 10x = 110 simplify
2x + 100 - 10x + 10x = 110
2x + 100 = 110 subtract 100 from both sides
2x = 10 divide both sides by 2
x = 5
And
20 - 2(5) = 10
He has 5 $2 notes
He has 10 $5 notes
He has 5 $10 notes