Henry has 12 notes. There are only two-dollar notes and one hundred-dollar notes. The total amount of money is $808. How many one hundred-dollar notes does Henry 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 |
12 |
12 x 100 = $1200 |
0 |
0 |
$1200 |
11 |
11 x 100 = $1100 |
1 |
1 x 2 = $2 |
$1102 |
8 |
8 x 100 = $800 |
4 |
4 x 2 = $8 |
$808 |
Total amount of money if all the notes are one hundred-dollar notes
= 12 x 100
= $1200
Big difference between the amounts of one hundred-dollar notes and two-dollar notes
= 1200 - 808
= $392
Small difference between amount in one one hundred-dollar note and one two-dollar note
= 100 - 2
= 98
Number of two-dollar notes
= 392 ÷ 98
= 4
Number of one hundred-dollar notes
= 12 - 4
= 8
Answer(s): 8