A sum of $846 is divided among a group of people.
34 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 |
3 x 6 |
1 x 6 |
|
1 |
5 |
18 u |
1 u |
5 u |
|
$7 |
$5 |
$2 |
Number |
18 u |
1 u |
5 u |
Value |
$7 |
$5 |
$2 |
Total value |
126 u |
5 u |
10 u |
Fraction of people who did not receive $7
= 1 -
34 =
14 Fraction of the remainder who received $2
= 1 -
16 =
56 Fraction of people who received $5
=
14 x
16 =
124 Fraction of people who received $2
=
14 x
56 =
524Total amount of money received
= 126 u + 5 u + 10 u
= 141 u
141 u = 846
1 u = 846 ÷ 141 = 6
Number of people who received the money
= 18 u + 1 u + 5 u
= 24 u
= 24 x 6
= 144
Answer(s): 144