Will has 16 notes. There are only two-dollar notes and one hundred-dollar notes. The total amount of money is $718. How many one hundred-dollar notes does Will have?
Number of
one hundred-dollar notes |
Value of
one hundred-dollar notes |
Number of
two-dollar notes |
Value of
two-dollar notes |
Total
value |
| 16 |
16 x 100 = $1600 |
0 |
0 |
$1600 |
| 15 |
15 x 100 = $1500 |
1 |
1 x 2
= $2 |
$1502 |
| 7 |
7 x 100 =
$700 |
9 |
9 x 2 = $18 |
$718 |
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 two-dollar notes
= 1600 - 718
= $882
Small difference between amount in one one hundred-dollar note and one two-dollar note
= 100 - 2
= 98
Number of two-dollar notes
= 882 ÷ 98
= 9
Number of one hundred-dollar notes
= 16 - 9
= 7
Answer(s): 7
