A sum of $686 is divided among a group of people.
34 of the people receive $7 each,
14 of the remainder receive $5 each and the rest receive $3 each. How many people are there altogether?
| $7 |
$5 |
$3 |
| 3 x 4 |
1 x 4 |
| |
1 |
3 |
| 12 u |
1 u |
3 u |
| |
$7 |
$5 |
$3 |
| Number |
12 u |
1 u |
3 u |
| Value |
$7 |
$5 |
$3 |
| Total value |
84 u |
5 u |
9 u |
Fraction of people who did not receive $7
= 1 -
34 =
14 Fraction of the remainder who received $3
= 1 -
14 =
34 Fraction of people who received $5
=
14 x
14 =
116 Fraction of people who received $3
=
14 x
34 =
316Total amount of money received
= 84 u + 5 u + 9 u
= 98 u
98 u = 686
1 u = 686 ÷ 98 = 7
Number of people who received the money
= 12 u + 1 u + 3 u
= 16 u
= 16 x 7
= 112
Answer(s): 112
