A sum of $4917 is divided among a group of people.
89 of the people receive $9 each,
16 of the remainder receive $5 each and the rest receive $2 each. How many people are there altogether?
$9 |
$5 |
$2 |
8 x 6 |
1 x 6 |
|
1 |
5 |
48 u |
1 u |
5 u |
|
$9 |
$5 |
$2 |
Number |
48 u |
1 u |
5 u |
Value |
$9 |
$5 |
$2 |
Total value |
432 u |
5 u |
10 u |
Fraction of people who did not receive $9
= 1 -
89 =
19 Fraction of the remainder who received $2
= 1 -
16 =
56 Fraction of people who received $5
=
19 x
16 =
154 Fraction of people who received $2
=
19 x
56 =
554Total amount of money received
= 432 u + 5 u + 10 u
= 447 u
447 u = 4917
1 u = 4917 ÷ 447 = 11
Number of people who received the money
= 48 u + 1 u + 5 u
= 54 u
= 54 x 11
= 594
Answer(s): 594