A sum of $3570 is divided among a group of people.
89 of the people receive $9 each,
18 of the remainder receive $5 each and the rest receive $2 each. How many people are there altogether?
$9 |
$5 |
$2 |
8 x 8 |
1 x 8 |
|
1 |
7 |
64 u |
1 u |
7 u |
|
$9 |
$5 |
$2 |
Number |
64 u |
1 u |
7 u |
Value |
$9 |
$5 |
$2 |
Total value |
576 u |
5 u |
14 u |
Fraction of people who did not receive $9
= 1 -
89 =
19 Fraction of the remainder who received $2
= 1 -
18 =
78 Fraction of people who received $5
=
19 x
18 =
172 Fraction of people who received $2
=
19 x
78 =
772Total amount of money received
= 576 u + 5 u + 14 u
= 595 u
595 u = 3570
1 u = 3570 ÷ 595 = 6
Number of people who received the money
= 64 u + 1 u + 7 u
= 72 u
= 72 x 6
= 432
Answer(s): 432