A sum of $680 is divided among a group of people.
23 of the people receive $9 each,
18 of the remainder receive $5 each and the rest receive $3 each. How many people are there altogether?
$9 |
$5 |
$3 |
2 x 8 |
1 x 8 |
|
1 |
7 |
16 u |
1 u |
7 u |
|
$9 |
$5 |
$3 |
Number |
16 u |
1 u |
7 u |
Value |
$9 |
$5 |
$3 |
Total value |
144 u |
5 u |
21 u |
Fraction of people who did not receive $9
= 1 -
23 =
13 Fraction of the remainder who received $3
= 1 -
18 =
78 Fraction of people who received $5
=
13 x
18 =
124 Fraction of people who received $3
=
13 x
78 =
724Total amount of money received
= 144 u + 5 u + 21 u
= 170 u
170 u = 680
1 u = 680 ÷ 170 = 4
Number of people who received the money
= 16 u + 1 u + 7 u
= 24 u
= 24 x 4
= 96
Answer(s): 96