A sum of $380 is divided among a group of people.
23 of the people receive $7 each,
12 of the remainder receive $6 each and the rest receive $4 each. How many people are there altogether?
$7 |
$6 |
$4 |
2 x 2 |
1 x 2 |
|
1 |
1 |
4 u |
1 u |
1 u |
|
$7 |
$6 |
$4 |
Number |
4 u |
1 u |
1 u |
Value |
$7 |
$6 |
$4 |
Total value |
28 u |
6 u |
4 u |
Fraction of people who did not receive $7
= 1 -
23 =
13 Fraction of the remainder who received $4
= 1 -
12 =
12 Fraction of people who received $6
=
13 x
12 =
16 Fraction of people who received $4
=
13 x
12 =
16Total amount of money received
= 28 u + 6 u + 4 u
= 38 u
38 u = 380
1 u = 380 ÷ 38 = 10
Number of people who received the money
= 4 u + 1 u + 1 u
= 6 u
= 6 x 10
= 60
Answer(s): 60