A sum of $3390 is divided among a group of people.
56 of the people receive $8 each,
18 of the remainder receive $5 each and the rest receive $2 each. How many people are there altogether?
$8 |
$5 |
$2 |
5 x 8 |
1 x 8 |
|
1 |
7 |
40 u |
1 u |
7 u |
|
$8 |
$5 |
$2 |
Number |
40 u |
1 u |
7 u |
Value |
$8 |
$5 |
$2 |
Total value |
320 u |
5 u |
14 u |
Fraction of people who did not receive $8
= 1 -
56 =
16 Fraction of the remainder who received $2
= 1 -
18 =
78 Fraction of people who received $5
=
16 x
18 =
148 Fraction of people who received $2
=
16 x
78 =
748Total amount of money received
= 320 u + 5 u + 14 u
= 339 u
339 u = 3390
1 u = 3390 ÷ 339 = 10
Number of people who received the money
= 40 u + 1 u + 7 u
= 48 u
= 48 x 10
= 480
Answer(s): 480