Daniel has 13 notes. There are only ten-dollar notes and fifty-dollar notes. The total amount of money is $330. How many fifty-dollar notes does Daniel have?
Number of fifty-dollar notes |
Value of fifty-dollar notes |
Number of ten-dollar notes |
Value of ten-dollar notes |
Total value |
13 |
13 x 50 = $650 |
0 |
0 |
$650 |
12 |
12 x 50 = $600 |
1 |
1 x 10 = $10 |
$610 |
5 |
5 x 50 = $250 |
8 |
8 x 10 = $80 |
$330 |
Total amount of money if all the notes are fifty-dollar notes
= 13 x 50
= $650
Big difference between the amounts of fifty-dollar notes and ten-dollar notes
= 650 - 330
= $320
Small difference between amount in one fifty-dollar note and one ten-dollar note
= 50 - 10
= 40
Number of ten-dollar notes
= 320 ÷ 40
= 8
Number of fifty-dollar notes
= 13 - 8
= 5
Answer(s): 5