A sum of $900 is divided among a group of people.
34 of the people receive $9 each,
13 of the remainder receive $5 each and the rest receive $2 each. How many people are there altogether?
$9 |
$5 |
$2 |
3 x 3 |
1 x 3 |
|
1 |
2 |
9 u |
1 u |
2 u |
|
$9 |
$5 |
$2 |
Number |
9 u |
1 u |
2 u |
Value |
$9 |
$5 |
$2 |
Total value |
81 u |
5 u |
4 u |
Fraction of people who did not receive $9
= 1 -
34 =
14 Fraction of the remainder who received $2
= 1 -
13 =
23 Fraction of people who received $5
=
14 x
13 =
112 Fraction of people who received $2
=
14 x
23 =
212Total amount of money received
= 81 u + 5 u + 4 u
= 90 u
90 u = 900
1 u = 900 ÷ 90 = 10
Number of people who received the money
= 9 u + 1 u + 2 u
= 12 u
= 12 x 10
= 120
Answer(s): 120