A sum of $220 is divided among a group of people.
34 of the people receive $8 each,
12 of the remainder receive $5 each and the rest receive $2 each. How many people are there altogether?
$8 |
$5 |
$2 |
3 x 2 |
1 x 2 |
|
1 |
1 |
6 u |
1 u |
1 u |
|
$8 |
$5 |
$2 |
Number |
6 u |
1 u |
1 u |
Value |
$8 |
$5 |
$2 |
Total value |
48 u |
5 u |
2 u |
Fraction of people who did not receive $8
= 1 -
34 =
14 Fraction of the remainder who received $2
= 1 -
12 =
12 Fraction of people who received $5
=
14 x
12 =
18 Fraction of people who received $2
=
14 x
12 =
18Total amount of money received
= 48 u + 5 u + 2 u
= 55 u
55 u = 220
1 u = 220 ÷ 55 = 4
Number of people who received the money
= 6 u + 1 u + 1 u
= 8 u
= 8 x 4
= 32
Answer(s): 32