A sum of $236 is divided among a group of people.
23 of the people receive $8 each,
13 of the remainder receive $5 each and the rest receive $3 each. How many people are there altogether?
$8 |
$5 |
$3 |
2 x 3 |
1 x 3 |
|
1 |
2 |
6 u |
1 u |
2 u |
|
$8 |
$5 |
$3 |
Number |
6 u |
1 u |
2 u |
Value |
$8 |
$5 |
$3 |
Total value |
48 u |
5 u |
6 u |
Fraction of people who did not receive $8
= 1 -
23 =
13 Fraction of the remainder who received $3
= 1 -
13 =
23 Fraction of people who received $5
=
13 x
13 =
19 Fraction of people who received $3
=
13 x
23 =
29Total amount of money received
= 48 u + 5 u + 6 u
= 59 u
59 u = 236
1 u = 236 ÷ 59 = 4
Number of people who received the money
= 6 u + 1 u + 2 u
= 9 u
= 9 x 4
= 36
Answer(s): 36