A sum of $714 is divided among a group of people.
34 of the people receive $9 each,
14 of the remainder receive $5 each and the rest receive $2 each. How many people are there altogether?
$9 |
$5 |
$2 |
3 x 4 |
1 x 4 |
|
1 |
3 |
12 u |
1 u |
3 u |
|
$9 |
$5 |
$2 |
Number |
12 u |
1 u |
3 u |
Value |
$9 |
$5 |
$2 |
Total value |
108 u |
5 u |
6 u |
Fraction of people who did not receive $9
= 1 -
34 =
14 Fraction of the remainder who received $2
= 1 -
14 =
34 Fraction of people who received $5
=
14 x
14 =
116 Fraction of people who received $2
=
14 x
34 =
316Total amount of money received
= 108 u + 5 u + 6 u
= 119 u
119 u = 714
1 u = 714 ÷ 119 = 6
Number of people who received the money
= 12 u + 1 u + 3 u
= 16 u
= 16 x 6
= 96
Answer(s): 96