A sum of $741 is divided among a group of people.
45 of the people receive $8 each,
17 of the remainder receive $5 each and the rest receive $3 each. How many people are there altogether?
$8 |
$5 |
$3 |
4 x 7 |
1 x 7 |
|
1 |
6 |
28 u |
1 u |
6 u |
|
$8 |
$5 |
$3 |
Number |
28 u |
1 u |
6 u |
Value |
$8 |
$5 |
$3 |
Total value |
224 u |
5 u |
18 u |
Fraction of people who did not receive $8
= 1 -
45 =
15 Fraction of the remainder who received $3
= 1 -
17 =
67 Fraction of people who received $5
=
15 x
17 =
135 Fraction of people who received $3
=
15 x
67 =
635Total amount of money received
= 224 u + 5 u + 18 u
= 247 u
247 u = 741
1 u = 741 ÷ 247 = 3
Number of people who received the money
= 28 u + 1 u + 6 u
= 35 u
= 35 x 3
= 105
Answer(s): 105