Luke has 16 notes. There are only fifty-dollar notes and one hundred-dollar notes. The total amount of money is $1100. How many one hundred-dollar notes does Luke 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 |
| 16 |
16 x 100 = $1600 |
0 |
0 |
$1600 |
| 15 |
15 x 100 = $1500 |
1 |
1 x 50
= $50 |
$1550 |
| 6 |
6 x 100 =
$600 |
10 |
10 x 50 = $500 |
$1100 |
Total amount of money if all the notes are one hundred-dollar notes
= 16 x 100
= $1600
Big difference between the amounts of one hundred-dollar notes and fifty-dollar notes
= 1600 - 1100
= $500
Small difference between amount in one one hundred-dollar note and one fifty-dollar note
= 100 - 50
= 50
Number of fifty-dollar notes
= 500 ÷ 50
= 10
Number of one hundred-dollar notes
= 16 - 10
= 6
Answer(s): 6
