Jeremy has 18 notes. There are only five-dollar notes and one hundred-dollar notes. The total amount of money is $470. How many one hundred-dollar notes does Jeremy have?
Number of one hundred-dollar notes |
Value of one hundred-dollar notes |
Number of five-dollar notes |
Value of five-dollar notes |
Total value |
18 |
18 x 100 = $1800 |
0 |
0 |
$1800 |
17 |
17 x 100 = $1700 |
1 |
1 x 5 = $5 |
$1705 |
4 |
4 x 100 = $400 |
14 |
14 x 5 = $70 |
$470 |
Total amount of money if all the notes are one hundred-dollar notes
= 18 x 100
= $1800
Big difference between the amounts of one hundred-dollar notes and five-dollar notes
= 1800 - 470
= $1330
Small difference between amount in one one hundred-dollar note and one five-dollar note
= 100 - 5
= 95
Number of five-dollar notes
= 1330 ÷ 95
= 14
Number of one hundred-dollar notes
= 18 - 14
= 4
Answer(s): 4