A sum of $360 is divided among a group of people.
89 of the people receive $7 each,
12 of the remainder receive $6 each and the rest receive $2 each. How many people are there altogether?
$7 |
$6 |
$2 |
8 x 2 |
1 x 2 |
|
1 |
1 |
16 u |
1 u |
1 u |
|
$7 |
$6 |
$2 |
Number |
16 u |
1 u |
1 u |
Value |
$7 |
$6 |
$2 |
Total value |
112 u |
6 u |
2 u |
Fraction of people who did not receive $7
= 1 -
89 =
19 Fraction of the remainder who received $2
= 1 -
12 =
12 Fraction of people who received $6
=
19 x
12 =
118 Fraction of people who received $2
=
19 x
12 =
118Total amount of money received
= 112 u + 6 u + 2 u
= 120 u
120 u = 360
1 u = 360 ÷ 120 = 3
Number of people who received the money
= 16 u + 1 u + 1 u
= 18 u
= 18 x 3
= 54
Answer(s): 54