A sum of $1384 is divided among a group of people.
45 of the people receive $8 each,
15 of the remainder receive $5 each and the rest receive $2 each. How many people are there altogether?
| $8 |
$5 |
$2 |
| 4 x 5 |
1 x 5 |
| |
1 |
4 |
| 20 u |
1 u |
4 u |
| |
$8 |
$5 |
$2 |
| Number |
20 u |
1 u |
4 u |
| Value |
$8 |
$5 |
$2 |
| Total value |
160 u |
5 u |
8 u |
Fraction of people who did not receive $8
= 1 -
45 =
15 Fraction of the remainder who received $2
= 1 -
15 =
45 Fraction of people who received $5
=
15 x
15 =
125 Fraction of people who received $2
=
15 x
45 =
425Total amount of money received
= 160 u + 5 u + 8 u
= 173 u
173 u = 1384
1 u = 1384 ÷ 173 = 8
Number of people who received the money
= 20 u + 1 u + 4 u
= 25 u
= 25 x 8
= 200
Answer(s): 200
