A sum of $4776 is divided among a group of people.
78 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 |
7 x 6 |
1 x 6 |
|
1 |
5 |
42 u |
1 u |
5 u |
|
$9 |
$5 |
$3 |
Number |
42 u |
1 u |
5 u |
Value |
$9 |
$5 |
$3 |
Total value |
378 u |
5 u |
15 u |
Fraction of people who did not receive $9
= 1 -
78 =
18 Fraction of the remainder who received $3
= 1 -
16 =
56 Fraction of people who received $5
=
18 x
16 =
148 Fraction of people who received $3
=
18 x
56 =
548Total amount of money received
= 378 u + 5 u + 15 u
= 398 u
398 u = 4776
1 u = 4776 ÷ 398 = 12
Number of people who received the money
= 42 u + 1 u + 5 u
= 48 u
= 48 x 12
= 576
Answer(s): 576