A sum of $1060 is divided among a group of people.
78 of the people receive $9 each,
18 of the remainder receive $5 each and the rest receive $3 each. How many people are there altogether?
$9 |
$5 |
$3 |
7 x 8 |
1 x 8 |
|
1 |
7 |
56 u |
1 u |
7 u |
|
$9 |
$5 |
$3 |
Number |
56 u |
1 u |
7 u |
Value |
$9 |
$5 |
$3 |
Total value |
504 u |
5 u |
21 u |
Fraction of people who did not receive $9
= 1 -
78 =
18 Fraction of the remainder who received $3
= 1 -
18 =
78 Fraction of people who received $5
=
18 x
18 =
164 Fraction of people who received $3
=
18 x
78 =
764Total amount of money received
= 504 u + 5 u + 21 u
= 530 u
530 u = 1060
1 u = 1060 ÷ 530 = 2
Number of people who received the money
= 56 u + 1 u + 7 u
= 64 u
= 64 x 2
= 128
Answer(s): 128