Xavier has 17 notes. There are only fifty-dollar notes and one hundred-dollar notes. The total amount of money is $1000. How many one hundred-dollar notes does Xavier have?
Number of
one hundred-dollar notes |
Value of
one hundred-dollar notes |
Number of
fifty-dollar notes |
Value of
fifty-dollar notes |
Total
value |
| 17 |
17 x 100 = $1700 |
0 |
0 |
$1700 |
| 16 |
16 x 100 = $1600 |
1 |
1 x 50
= $50 |
$1650 |
| 3 |
3 x 100 =
$300 |
14 |
14 x 50 = $700 |
$1000 |
Total amount of money if all the notes are one hundred-dollar notes
= 17 x 100
= $1700
Big difference between the amounts of one hundred-dollar notes and fifty-dollar notes
= 1700 - 1000
= $700
Small difference between amount in one one hundred-dollar note and one fifty-dollar note
= 100 - 50
= 50
Number of fifty-dollar notes
= 700 ÷ 50
= 14
Number of one hundred-dollar notes
= 17 - 14
= 3
Answer(s): 3
