A sum of $1808 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 $3 each. How many people are there altogether?
$9 |
$5 |
$3 |
8 x 6 |
1 x 6 |
|
1 |
5 |
48 u |
1 u |
5 u |
|
$9 |
$5 |
$3 |
Number |
48 u |
1 u |
5 u |
Value |
$9 |
$5 |
$3 |
Total value |
432 u |
5 u |
15 u |
Fraction of people who did not receive $9
= 1 -
89 =
19 Fraction of the remainder who received $3
= 1 -
16 =
56 Fraction of people who received $5
=
19 x
16 =
154 Fraction of people who received $3
=
19 x
56 =
554Total amount of money received
= 432 u + 5 u + 15 u
= 452 u
452 u = 1808
1 u = 1808 ÷ 452 = 4
Number of people who received the money
= 48 u + 1 u + 5 u
= 54 u
= 54 x 4
= 216
Answer(s): 216