A sum of $546 is divided among a group of people.
89 of the people receive $7 each,
13 of the remainder receive $6 each and the rest receive $4 each. How many people are there altogether?
$7 |
$6 |
$4 |
8 x 3 |
1 x 3 |
|
1 |
2 |
24 u |
1 u |
2 u |
|
$7 |
$6 |
$4 |
Number |
24 u |
1 u |
2 u |
Value |
$7 |
$6 |
$4 |
Total value |
168 u |
6 u |
8 u |
Fraction of people who did not receive $7
= 1 -
89 =
19 Fraction of the remainder who received $4
= 1 -
13 =
23 Fraction of people who received $6
=
19 x
13 =
127 Fraction of people who received $4
=
19 x
23 =
227Total amount of money received
= 168 u + 6 u + 8 u
= 182 u
182 u = 546
1 u = 546 ÷ 182 = 3
Number of people who received the money
= 24 u + 1 u + 2 u
= 27 u
= 27 x 3
= 81
Answer(s): 81