A sum of $1410 is divided among a group of people.
45 of the people receive $8 each,
18 of the remainder receive $5 each and the rest receive $3 each. How many people are there altogether?
$8 |
$5 |
$3 |
4 x 8 |
1 x 8 |
|
1 |
7 |
32 u |
1 u |
7 u |
|
$8 |
$5 |
$3 |
Number |
32 u |
1 u |
7 u |
Value |
$8 |
$5 |
$3 |
Total value |
256 u |
5 u |
21 u |
Fraction of people who did not receive $8
= 1 -
45 =
15 Fraction of the remainder who received $3
= 1 -
18 =
78 Fraction of people who received $5
=
15 x
18 =
140 Fraction of people who received $3
=
15 x
78 =
740Total amount of money received
= 256 u + 5 u + 21 u
= 282 u
282 u = 1410
1 u = 1410 ÷ 282 = 5
Number of people who received the money
= 32 u + 1 u + 7 u
= 40 u
= 40 x 5
= 200
Answer(s): 200