A sum of $1524 is divided among a group of people.
89 of the people receive $9 each,
15 of the remainder receive $5 each and the rest receive $4 each. How many people are there altogether?
$9 |
$5 |
$4 |
8 x 5 |
1 x 5 |
|
1 |
4 |
40 u |
1 u |
4 u |
|
$9 |
$5 |
$4 |
Number |
40 u |
1 u |
4 u |
Value |
$9 |
$5 |
$4 |
Total value |
360 u |
5 u |
16 u |
Fraction of people who did not receive $9
= 1 -
89 =
19 Fraction of the remainder who received $4
= 1 -
15 =
45 Fraction of people who received $5
=
19 x
15 =
145 Fraction of people who received $4
=
19 x
45 =
445Total amount of money received
= 360 u + 5 u + 16 u
= 381 u
381 u = 1524
1 u = 1524 ÷ 381 = 4
Number of people who received the money
= 40 u + 1 u + 4 u
= 45 u
= 45 x 4
= 180
Answer(s): 180