Pierre has 14 notes. There are only two-dollar notes and one hundred-dollar notes. The total amount of money is $420. How many one hundred-dollar notes does Pierre 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 |
| 14 |
14 x 100 = $1400 |
0 |
0 |
$1400 |
| 13 |
13 x 100 = $1300 |
1 |
1 x 2
= $2 |
$1302 |
| 4 |
4 x 100 =
$400 |
10 |
10 x 2 = $20 |
$420 |
Total amount of money if all the notes are one hundred-dollar notes
= 14 x 100
= $1400
Big difference between the amounts of one hundred-dollar notes and two-dollar notes
= 1400 - 420
= $980
Small difference between amount in one one hundred-dollar note and one two-dollar note
= 100 - 2
= 98
Number of two-dollar notes
= 980 ÷ 98
= 10
Number of one hundred-dollar notes
= 14 - 10
= 4
Answer(s): 4
