A sum of $724 is divided among a group of people.
89 of the people receive $7 each,
13 of the remainder receive $5 each and the rest receive $4 each. How many people are there altogether?
$7 |
$5 |
$4 |
8 x 3 |
1 x 3 |
|
1 |
2 |
24 u |
1 u |
2 u |
|
$7 |
$5 |
$4 |
Number |
24 u |
1 u |
2 u |
Value |
$7 |
$5 |
$4 |
Total value |
168 u |
5 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 $5
=
19 x
13 =
127 Fraction of people who received $4
=
19 x
23 =
227Total amount of money received
= 168 u + 5 u + 8 u
= 181 u
181 u = 724
1 u = 724 ÷ 181 = 4
Number of people who received the money
= 24 u + 1 u + 2 u
= 27 u
= 27 x 4
= 108
Answer(s): 108