A sum of $666 is divided among a group of people.
89 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 |
8 x 5 |
1 x 5 |
|
1 |
4 |
40 u |
1 u |
4 u |
|
$8 |
$5 |
$2 |
Number |
40 u |
1 u |
4 u |
Value |
$8 |
$5 |
$2 |
Total value |
320 u |
5 u |
8 u |
Fraction of people who did not receive $8
= 1 -
89 =
19 Fraction of the remainder who received $2
= 1 -
15 =
45 Fraction of people who received $5
=
19 x
15 =
145 Fraction of people who received $2
=
19 x
45 =
445Total amount of money received
= 320 u + 5 u + 8 u
= 333 u
333 u = 666
1 u = 666 ÷ 333 = 2
Number of people who received the money
= 40 u + 1 u + 4 u
= 45 u
= 45 x 2
= 90
Answer(s): 90