A sum of $4264 is divided among a group of people.
89 of the people receive $9 each,
17 of the remainder receive $5 each and the rest receive $4 each. How many people are there altogether?
| $9 |
$5 |
$4 |
| 8 x 7 |
1 x 7 |
| |
1 |
6 |
| 56 u |
1 u |
6 u |
| |
$9 |
$5 |
$4 |
| Number |
56 u |
1 u |
6 u |
| Value |
$9 |
$5 |
$4 |
| Total value |
504 u |
5 u |
24 u |
Fraction of people who did not receive $9
= 1 -
89 =
19 Fraction of the remainder who received $4
= 1 -
17 =
67 Fraction of people who received $5
=
19 x
17 =
163 Fraction of people who received $4
=
19 x
67 =
663Total amount of money received
= 504 u + 5 u + 24 u
= 533 u
533 u = 4264
1 u = 4264 ÷ 533 = 8
Number of people who received the money
= 56 u + 1 u + 6 u
= 63 u
= 63 x 8
= 504
Answer(s): 504
