A sum of $1397 is divided among a group of people.
45 of the people receive $7 each,
14 of the remainder receive $6 each and the rest receive $3 each. How many people are there altogether?
$7 |
$6 |
$3 |
4 x 4 |
1 x 4 |
|
1 |
3 |
16 u |
1 u |
3 u |
|
$7 |
$6 |
$3 |
Number |
16 u |
1 u |
3 u |
Value |
$7 |
$6 |
$3 |
Total value |
112 u |
6 u |
9 u |
Fraction of people who did not receive $7
= 1 -
45 =
15 Fraction of the remainder who received $3
= 1 -
14 =
34 Fraction of people who received $6
=
15 x
14 =
120 Fraction of people who received $3
=
15 x
34 =
320Total amount of money received
= 112 u + 6 u + 9 u
= 127 u
127 u = 1397
1 u = 1397 ÷ 127 = 11
Number of people who received the money
= 16 u + 1 u + 3 u
= 20 u
= 20 x 11
= 220
Answer(s): 220