A sum of $528 is divided among a group of people.
34 of the people receive $7 each,
17 of the remainder receive $5 each and the rest receive $4 each. How many people are there altogether?
$7 |
$5 |
$4 |
3 x 7 |
1 x 7 |
|
1 |
6 |
21 u |
1 u |
6 u |
|
$7 |
$5 |
$4 |
Number |
21 u |
1 u |
6 u |
Value |
$7 |
$5 |
$4 |
Total value |
147 u |
5 u |
24 u |
Fraction of people who did not receive $7
= 1 -
34 =
14 Fraction of the remainder who received $4
= 1 -
17 =
67 Fraction of people who received $5
=
14 x
17 =
128 Fraction of people who received $4
=
14 x
67 =
628Total amount of money received
= 147 u + 5 u + 24 u
= 176 u
176 u = 528
1 u = 528 ÷ 176 = 3
Number of people who received the money
= 21 u + 1 u + 6 u
= 28 u
= 28 x 3
= 84
Answer(s): 84