A sum of $488 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 $4 each. How many people are there altogether?
| $8 |
$5 |
$4 |
| 2 x 3 |
1 x 3 |
| |
1 |
2 |
| 6 u |
1 u |
2 u |
| |
$8 |
$5 |
$4 |
| Number |
6 u |
1 u |
2 u |
| Value |
$8 |
$5 |
$4 |
| Total value |
48 u |
5 u |
8 u |
Fraction of people who did not receive $8
= 1 -
23 =
13 Fraction of the remainder who received $4
= 1 -
13 =
23 Fraction of people who received $5
=
13 x
13 =
19 Fraction of people who received $4
=
13 x
23 =
29Total amount of money received
= 48 u + 5 u + 8 u
= 61 u
61 u = 488
1 u = 488 ÷ 61 = 8
Number of people who received the money
= 6 u + 1 u + 2 u
= 9 u
= 9 x 8
= 72
Answer(s): 72
