A sum of $552 is divided among a group of people.
45 of the people receive $8 each,
18 of the remainder receive $6 each and the rest receive $2 each. How many people are there altogether?
$8 |
$6 |
$2 |
4 x 8 |
1 x 8 |
|
1 |
7 |
32 u |
1 u |
7 u |
|
$8 |
$6 |
$2 |
Number |
32 u |
1 u |
7 u |
Value |
$8 |
$6 |
$2 |
Total value |
256 u |
6 u |
14 u |
Fraction of people who did not receive $8
= 1 -
45 =
15 Fraction of the remainder who received $2
= 1 -
18 =
78 Fraction of people who received $6
=
15 x
18 =
140 Fraction of people who received $2
=
15 x
78 =
740Total amount of money received
= 256 u + 6 u + 14 u
= 276 u
276 u = 552
1 u = 552 ÷ 276 = 2
Number of people who received the money
= 32 u + 1 u + 7 u
= 40 u
= 40 x 2
= 80
Answer(s): 80