A sum of $3636 is divided among a group of people.
89 of the people receive $9 each,
14 of the remainder receive $6 each and the rest receive $3 each. How many people are there altogether?
| $9 |
$6 |
$3 |
| 8 x 4 |
1 x 4 |
| |
1 |
3 |
| 32 u |
1 u |
3 u |
| |
$9 |
$6 |
$3 |
| Number |
32 u |
1 u |
3 u |
| Value |
$9 |
$6 |
$3 |
| Total value |
288 u |
6 u |
9 u |
Fraction of people who did not receive $9
= 1 -
89 =
19 Fraction of the remainder who received $3
= 1 -
14 =
34 Fraction of people who received $6
=
19 x
14 =
136 Fraction of people who received $3
=
19 x
34 =
336Total amount of money received
= 288 u + 6 u + 9 u
= 303 u
303 u = 3636
1 u = 3636 ÷ 303 = 12
Number of people who received the money
= 32 u + 1 u + 3 u
= 36 u
= 36 x 12
= 432
Answer(s): 432
