Luke has 17 notes. There are only two-dollar notes and five-dollar notes. The total amount of money is $58. How many five-dollar notes does Luke have?
Number of
five-dollar notes |
Value of
five-dollar notes |
Number of
two-dollar notes |
Value of
two-dollar notes |
Total
value |
| 17 |
17 x 5 = $85 |
0 |
0 |
$85 |
| 16 |
16 x 5 = $80 |
1 |
1 x 2
= $2 |
$82 |
| 8 |
8 x 5 =
$40 |
9 |
9 x 2 = $18 |
$58 |
Total amount of money if all the notes are five-dollar notes
= 17 x 5
= $85
Big difference between the amounts of five-dollar notes and two-dollar notes
= 85 - 58
= $27
Small difference between amount in one five-dollar note and one two-dollar note
= 5 - 2
= 3
Number of two-dollar notes
= 27 ÷ 3
= 9
Number of five-dollar notes
= 17 - 9
= 8
Answer(s): 8
