Tommy has 10 notes. There are only five-dollar notes and fifty-dollar notes. The total amount of money is $365. How many fifty-dollar notes does Tommy have?
Number of
fifty-dollar notes |
Value of
fifty-dollar notes |
Number of
five-dollar notes |
Value of
five-dollar notes |
Total
value |
| 10 |
10 x 50 = $500 |
0 |
0 |
$500 |
| 9 |
9 x 50 = $450 |
1 |
1 x 5
= $5 |
$455 |
| 7 |
7 x 50 =
$350 |
3 |
3 x 5 = $15 |
$365 |
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 five-dollar notes
= 500 - 365
= $135
Small difference between amount in one fifty-dollar note and one five-dollar note
= 50 - 5
= 45
Number of five-dollar notes
= 135 ÷ 45
= 3
Number of fifty-dollar notes
= 10 - 3
= 7
Answer(s): 7
