A sum of $984 is divided among a group of people.
23 of the people receive $9 each,
18 of the remainder receive $6 each and the rest receive $2 each. How many people are there altogether?
$9 |
$6 |
$2 |
2 x 8 |
1 x 8 |
|
1 |
7 |
16 u |
1 u |
7 u |
|
$9 |
$6 |
$2 |
Number |
16 u |
1 u |
7 u |
Value |
$9 |
$6 |
$2 |
Total value |
144 u |
6 u |
14 u |
Fraction of people who did not receive $9
= 1 -
23 =
13 Fraction of the remainder who received $2
= 1 -
18 =
78 Fraction of people who received $6
=
13 x
18 =
124 Fraction of people who received $2
=
13 x
78 =
724Total amount of money received
= 144 u + 6 u + 14 u
= 164 u
164 u = 984
1 u = 984 ÷ 164 = 6
Number of people who received the money
= 16 u + 1 u + 7 u
= 24 u
= 24 x 6
= 144
Answer(s): 144