A sum of $520 is divided among a group of people.
45 of the people receive $7 each,
12 of the remainder receive $5 each and the rest receive $4 each. How many people are there altogether?
$7 |
$5 |
$4 |
4 x 2 |
1 x 2 |
|
1 |
1 |
8 u |
1 u |
1 u |
|
$7 |
$5 |
$4 |
Number |
8 u |
1 u |
1 u |
Value |
$7 |
$5 |
$4 |
Total value |
56 u |
5 u |
4 u |
Fraction of people who did not receive $7
= 1 -
45 =
15 Fraction of the remainder who received $4
= 1 -
12 =
12 Fraction of people who received $5
=
15 x
12 =
110 Fraction of people who received $4
=
15 x
12 =
110Total amount of money received
= 56 u + 5 u + 4 u
= 65 u
65 u = 520
1 u = 520 ÷ 65 = 8
Number of people who received the money
= 8 u + 1 u + 1 u
= 10 u
= 10 x 8
= 80
Answer(s): 80