A sum of $730 is divided among a group of people.
34 of the people receive $7 each,
13 of the remainder receive $6 each and the rest receive $2 each. How many people are there altogether?
$7 |
$6 |
$2 |
3 x 3 |
1 x 3 |
|
1 |
2 |
9 u |
1 u |
2 u |
|
$7 |
$6 |
$2 |
Number |
9 u |
1 u |
2 u |
Value |
$7 |
$6 |
$2 |
Total value |
63 u |
6 u |
4 u |
Fraction of people who did not receive $7
= 1 -
34 =
14 Fraction of the remainder who received $2
= 1 -
13 =
23 Fraction of people who received $6
=
14 x
13 =
112 Fraction of people who received $2
=
14 x
23 =
212Total amount of money received
= 63 u + 6 u + 4 u
= 73 u
73 u = 730
1 u = 730 ÷ 73 = 10
Number of people who received the money
= 9 u + 1 u + 2 u
= 12 u
= 12 x 10
= 120
Answer(s): 120