A sum of $2196 is divided among a group of people.
45 of the people receive $7 each,
16 of the remainder receive $5 each and the rest receive $2 each. How many people are there altogether?
$7 |
$5 |
$2 |
4 x 6 |
1 x 6 |
|
1 |
5 |
24 u |
1 u |
5 u |
|
$7 |
$5 |
$2 |
Number |
24 u |
1 u |
5 u |
Value |
$7 |
$5 |
$2 |
Total value |
168 u |
5 u |
10 u |
Fraction of people who did not receive $7
= 1 -
45 =
15 Fraction of the remainder who received $2
= 1 -
16 =
56 Fraction of people who received $5
=
15 x
16 =
130 Fraction of people who received $2
=
15 x
56 =
530Total amount of money received
= 168 u + 5 u + 10 u
= 183 u
183 u = 2196
1 u = 2196 ÷ 183 = 12
Number of people who received the money
= 24 u + 1 u + 5 u
= 30 u
= 30 x 12
= 360
Answer(s): 360