A sum of $1940 is divided among a group of people.
45 of the people receive $9 each,
15 of the remainder receive $6 each and the rest receive $2 each. How many people are there altogether?
$9 |
$6 |
$2 |
4 x 5 |
1 x 5 |
|
1 |
4 |
20 u |
1 u |
4 u |
|
$9 |
$6 |
$2 |
Number |
20 u |
1 u |
4 u |
Value |
$9 |
$6 |
$2 |
Total value |
180 u |
6 u |
8 u |
Fraction of people who did not receive $9
= 1 -
45 =
15 Fraction of the remainder who received $2
= 1 -
15 =
45 Fraction of people who received $6
=
15 x
15 =
125 Fraction of people who received $2
=
15 x
45 =
425Total amount of money received
= 180 u + 6 u + 8 u
= 194 u
194 u = 1940
1 u = 1940 ÷ 194 = 10
Number of people who received the money
= 20 u + 1 u + 4 u
= 25 u
= 25 x 10
= 250
Answer(s): 250