A sum of $440 is divided among a group of people.
56 of the people receive $8 each,
12 of the remainder receive $5 each and the rest receive $3 each. How many people are there altogether?
$8 |
$5 |
$3 |
5 x 2 |
1 x 2 |
|
1 |
1 |
10 u |
1 u |
1 u |
|
$8 |
$5 |
$3 |
Number |
10 u |
1 u |
1 u |
Value |
$8 |
$5 |
$3 |
Total value |
80 u |
5 u |
3 u |
Fraction of people who did not receive $8
= 1 -
56 =
16 Fraction of the remainder who received $3
= 1 -
12 =
12 Fraction of people who received $5
=
16 x
12 =
112 Fraction of people who received $3
=
16 x
12 =
112Total amount of money received
= 80 u + 5 u + 3 u
= 88 u
88 u = 440
1 u = 440 ÷ 88 = 5
Number of people who received the money
= 10 u + 1 u + 1 u
= 12 u
= 12 x 5
= 60
Answer(s): 60