A sum of $1176 is divided among a group of people.
23 of the people receive $8 each,
18 of the remainder receive $5 each and the rest receive $2 each. How many people are there altogether?
$8 |
$5 |
$2 |
2 x 8 |
1 x 8 |
|
1 |
7 |
16 u |
1 u |
7 u |
|
$8 |
$5 |
$2 |
Number |
16 u |
1 u |
7 u |
Value |
$8 |
$5 |
$2 |
Total value |
128 u |
5 u |
14 u |
Fraction of people who did not receive $8
= 1 -
23 =
13 Fraction of the remainder who received $2
= 1 -
18 =
78 Fraction of people who received $5
=
13 x
18 =
124 Fraction of people who received $2
=
13 x
78 =
724Total amount of money received
= 128 u + 5 u + 14 u
= 147 u
147 u = 1176
1 u = 1176 ÷ 147 = 8
Number of people who received the money
= 16 u + 1 u + 7 u
= 24 u
= 24 x 8
= 192
Answer(s): 192