Jack has 10 notes. There are only five-dollar notes and twenty-dollar notes. The total amount of money is $95. How many twenty-dollar notes does Jack have?
Number of twenty-dollar notes |
Value of twenty-dollar notes |
Number of five-dollar notes |
Value of five-dollar notes |
Total value |
10 |
10 x 20 = $200 |
0 |
0 |
$200 |
9 |
9 x 20 = $180 |
1 |
1 x 5 = $5 |
$185 |
3 |
3 x 20 = $60 |
7 |
7 x 5 = $35 |
$95 |
Total amount of money if all the notes are twenty-dollar notes
= 10 x 20
= $200
Big difference between the amounts of twenty-dollar notes and five-dollar notes
= 200 - 95
= $105
Small difference between amount in one twenty-dollar note and one five-dollar note
= 20 - 5
= 15
Number of five-dollar notes
= 105 ÷ 15
= 7
Number of twenty-dollar notes
= 10 - 7
= 3
Answer(s): 3