A sum of $369 is divided among a group of people.
23 of the people receive $8 each,
12 of the remainder receive $6 each and the rest receive $3 each. How many people are there altogether?
$8 |
$6 |
$3 |
2 x 2 |
1 x 2 |
|
1 |
1 |
4 u |
1 u |
1 u |
|
$8 |
$6 |
$3 |
Number |
4 u |
1 u |
1 u |
Value |
$8 |
$6 |
$3 |
Total value |
32 u |
6 u |
3 u |
Fraction of people who did not receive $8
= 1 -
23 =
13 Fraction of the remainder who received $3
= 1 -
12 =
12 Fraction of people who received $6
=
13 x
12 =
16 Fraction of people who received $3
=
13 x
12 =
16Total amount of money received
= 32 u + 6 u + 3 u
= 41 u
41 u = 369
1 u = 369 ÷ 41 = 9
Number of people who received the money
= 4 u + 1 u + 1 u
= 6 u
= 6 x 9
= 54
Answer(s): 54