A sum of $1518 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 $4 each. How many people are there altogether?
$8 |
$5 |
$4 |
4 x 7 |
1 x 7 |
|
1 |
6 |
28 u |
1 u |
6 u |
|
$8 |
$5 |
$4 |
Number |
28 u |
1 u |
6 u |
Value |
$8 |
$5 |
$4 |
Total value |
224 u |
5 u |
24 u |
Fraction of people who did not receive $8
= 1 -
45 =
15 Fraction of the remainder who received $4
= 1 -
17 =
67 Fraction of people who received $5
=
15 x
17 =
135 Fraction of people who received $4
=
15 x
67 =
635Total amount of money received
= 224 u + 5 u + 24 u
= 253 u
253 u = 1518
1 u = 1518 ÷ 253 = 6
Number of people who received the money
= 28 u + 1 u + 6 u
= 35 u
= 35 x 6
= 210
Answer(s): 210