A sum of $2184 is divided among a group of people.
89 of the people receive $8 each,
14 of the remainder receive $5 each and the rest receive $4 each. How many people are there altogether?
$8 |
$5 |
$4 |
8 x 4 |
1 x 4 |
|
1 |
3 |
32 u |
1 u |
3 u |
|
$8 |
$5 |
$4 |
Number |
32 u |
1 u |
3 u |
Value |
$8 |
$5 |
$4 |
Total value |
256 u |
5 u |
12 u |
Fraction of people who did not receive $8
= 1 -
89 =
19 Fraction of the remainder who received $4
= 1 -
14 =
34 Fraction of people who received $5
=
19 x
14 =
136 Fraction of people who received $4
=
19 x
34 =
336Total amount of money received
= 256 u + 5 u + 12 u
= 273 u
273 u = 2184
1 u = 2184 ÷ 273 = 8
Number of people who received the money
= 32 u + 1 u + 3 u
= 36 u
= 36 x 8
= 288
Answer(s): 288