A sum of $525 is divided among a group of people.
23 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 |
2 x 4 |
1 x 4 |
|
1 |
3 |
8 u |
1 u |
3 u |
|
$8 |
$5 |
$2 |
Number |
8 u |
1 u |
3 u |
Value |
$8 |
$5 |
$2 |
Total value |
64 u |
5 u |
6 u |
Fraction of people who did not receive $8
= 1 -
23 =
13 Fraction of the remainder who received $2
= 1 -
14 =
34 Fraction of people who received $5
=
13 x
14 =
112 Fraction of people who received $2
=
13 x
34 =
312Total amount of money received
= 64 u + 5 u + 6 u
= 75 u
75 u = 525
1 u = 525 ÷ 75 = 7
Number of people who received the money
= 8 u + 1 u + 3 u
= 12 u
= 12 x 7
= 84
Answer(s): 84