Dylan has 10 notes. There are only two-dollar notes and fifty-dollar notes. The total amount of money is $308. How many fifty-dollar notes does Dylan have?
Number of
fifty-dollar notes |
Value of
fifty-dollar notes |
Number of
two-dollar notes |
Value of
two-dollar notes |
Total
value |
| 10 |
10 x 50 = $500 |
0 |
0 |
$500 |
| 9 |
9 x 50 = $450 |
1 |
1 x 2
= $2 |
$452 |
| 6 |
6 x 50 =
$300 |
4 |
4 x 2 = $8 |
$308 |
Total amount of money if all the notes are fifty-dollar notes
= 10 x 50
= $500
Big difference between the amounts of fifty-dollar notes and two-dollar notes
= 500 - 308
= $192
Small difference between amount in one fifty-dollar note and one two-dollar note
= 50 - 2
= 48
Number of two-dollar notes
= 192 ÷ 48
= 4
Number of fifty-dollar notes
= 10 - 4
= 6
Answer(s): 6
