A sum of $1668 is divided among a group of people.
45 of the people receive $8 each,
14 of the remainder receive $5 each and the rest receive $2 each. How many people are there altogether?
$8 |
$5 |
$2 |
4 x 4 |
1 x 4 |
|
1 |
3 |
16 u |
1 u |
3 u |
|
$8 |
$5 |
$2 |
Number |
16 u |
1 u |
3 u |
Value |
$8 |
$5 |
$2 |
Total value |
128 u |
5 u |
6 u |
Fraction of people who did not receive $8
= 1 -
45 =
15 Fraction of the remainder who received $2
= 1 -
14 =
34 Fraction of people who received $5
=
15 x
14 =
120 Fraction of people who received $2
=
15 x
34 =
320Total amount of money received
= 128 u + 5 u + 6 u
= 139 u
139 u = 1668
1 u = 1668 ÷ 139 = 12
Number of people who received the money
= 16 u + 1 u + 3 u
= 20 u
= 20 x 12
= 240
Answer(s): 240