A sum of $1275 is divided among a group of people.
78 of the people receive $7 each,
18 of the remainder receive $5 each and the rest receive $4 each. How many people are there altogether?
$7 |
$5 |
$4 |
7 x 8 |
1 x 8 |
|
1 |
7 |
56 u |
1 u |
7 u |
|
$7 |
$5 |
$4 |
Number |
56 u |
1 u |
7 u |
Value |
$7 |
$5 |
$4 |
Total value |
392 u |
5 u |
28 u |
Fraction of people who did not receive $7
= 1 -
78 =
18 Fraction of the remainder who received $4
= 1 -
18 =
78 Fraction of people who received $5
=
18 x
18 =
164 Fraction of people who received $4
=
18 x
78 =
764Total amount of money received
= 392 u + 5 u + 28 u
= 425 u
425 u = 1275
1 u = 1275 ÷ 425 = 3
Number of people who received the money
= 56 u + 1 u + 7 u
= 64 u
= 64 x 3
= 192
Answer(s): 192