Justin has 16 notes. There are only ten-dollar notes and one hundred-dollar notes. The total amount of money is $430. How many one hundred-dollar notes does Justin have?
Number of one hundred-dollar notes |
Value of one hundred-dollar notes |
Number of ten-dollar notes |
Value of ten-dollar notes |
Total value |
16 |
16 x 100 = $1600 |
0 |
0 |
$1600 |
15 |
15 x 100 = $1500 |
1 |
1 x 10 = $10 |
$1510 |
3 |
3 x 100 = $300 |
13 |
13 x 10 = $130 |
$430 |
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 ten-dollar notes
= 1600 - 430
= $1170
Small difference between amount in one one hundred-dollar note and one ten-dollar note
= 100 - 10
= 90
Number of ten-dollar notes
= 1170 ÷ 90
= 13
Number of one hundred-dollar notes
= 16 - 13
= 3
Answer(s): 3