A sum of $2660 is divided among a group of people.
78 of the people receive $9 each,
14 of the remainder receive $5 each and the rest receive $3 each. How many people are there altogether?
$9 |
$5 |
$3 |
7 x 4 |
1 x 4 |
|
1 |
3 |
28 u |
1 u |
3 u |
|
$9 |
$5 |
$3 |
Number |
28 u |
1 u |
3 u |
Value |
$9 |
$5 |
$3 |
Total value |
252 u |
5 u |
9 u |
Fraction of people who did not receive $9
= 1 -
78 =
18 Fraction of the remainder who received $3
= 1 -
14 =
34 Fraction of people who received $5
=
18 x
14 =
132 Fraction of people who received $3
=
18 x
34 =
332Total amount of money received
= 252 u + 5 u + 9 u
= 266 u
266 u = 2660
1 u = 2660 ÷ 266 = 10
Number of people who received the money
= 28 u + 1 u + 3 u
= 32 u
= 32 x 10
= 320
Answer(s): 320