A sum of $723 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 $2 each. How many people are there altogether?
$8 |
$5 |
$2 |
4 x 7 |
1 x 7 |
|
1 |
6 |
28 u |
1 u |
6 u |
|
$8 |
$5 |
$2 |
Number |
28 u |
1 u |
6 u |
Value |
$8 |
$5 |
$2 |
Total value |
224 u |
5 u |
12 u |
Fraction of people who did not receive $8
= 1 -
45 =
15 Fraction of the remainder who received $2
= 1 -
17 =
67 Fraction of people who received $5
=
15 x
17 =
135 Fraction of people who received $2
=
15 x
67 =
635Total amount of money received
= 224 u + 5 u + 12 u
= 241 u
241 u = 723
1 u = 723 ÷ 241 = 3
Number of people who received the money
= 28 u + 1 u + 6 u
= 35 u
= 35 x 3
= 105
Answer(s): 105