Pierre has 18 notes. There are only five-dollar notes and fifty-dollar notes. The total amount of money is $315. How many fifty-dollar notes does Pierre have?
Number of
fifty-dollar notes |
Value of
fifty-dollar notes |
Number of
five-dollar notes |
Value of
five-dollar notes |
Total
value |
| 18 |
18 x 50 = $900 |
0 |
0 |
$900 |
| 17 |
17 x 50 = $850 |
1 |
1 x 5
= $5 |
$855 |
| 5 |
5 x 50 =
$250 |
13 |
13 x 5 = $65 |
$315 |
Total amount of money if all the notes are fifty-dollar notes
= 18 x 50
= $900
Big difference between the amounts of fifty-dollar notes and five-dollar notes
= 900 - 315
= $585
Small difference between amount in one fifty-dollar note and one five-dollar note
= 50 - 5
= 45
Number of five-dollar notes
= 585 ÷ 45
= 13
Number of fifty-dollar notes
= 18 - 13
= 5
Answer(s): 5
