Elijah has 15 notes. There are only ten-dollar notes and fifty-dollar notes. The total amount of money is $270. How many fifty-dollar notes does Elijah have?
Number of
fifty-dollar notes |
Value of
fifty-dollar notes |
Number of
ten-dollar notes |
Value of
ten-dollar notes |
Total
value |
| 15 |
15 x 50 = $750 |
0 |
0 |
$750 |
| 14 |
14 x 50 = $700 |
1 |
1 x 10
= $10 |
$710 |
| 3 |
3 x 50 =
$150 |
12 |
12 x 10 = $120 |
$270 |
Total amount of money if all the notes are fifty-dollar notes
= 15 x 50
= $750
Big difference between the amounts of fifty-dollar notes and ten-dollar notes
= 750 - 270
= $480
Small difference between amount in one fifty-dollar note and one ten-dollar note
= 50 - 10
= 40
Number of ten-dollar notes
= 480 ÷ 40
= 12
Number of fifty-dollar notes
= 15 - 12
= 3
Answer(s): 3
