A sum of $810 is divided among a group of people.
45 of the people receive $9 each,
14 of the remainder receive $6 each and the rest receive $4 each. How many people are there altogether?
$9 |
$6 |
$4 |
4 x 4 |
1 x 4 |
|
1 |
3 |
16 u |
1 u |
3 u |
|
$9 |
$6 |
$4 |
Number |
16 u |
1 u |
3 u |
Value |
$9 |
$6 |
$4 |
Total value |
144 u |
6 u |
12 u |
Fraction of people who did not receive $9
= 1 -
45 =
15 Fraction of the remainder who received $4
= 1 -
14 =
34 Fraction of people who received $6
=
15 x
14 =
120 Fraction of people who received $4
=
15 x
34 =
320Total amount of money received
= 144 u + 6 u + 12 u
= 162 u
162 u = 810
1 u = 810 ÷ 162 = 5
Number of people who received the money
= 16 u + 1 u + 3 u
= 20 u
= 20 x 5
= 100
Answer(s): 100