Small durians |
Medium durians |
Large durians |
$2 |
$7 |
$9 |
David had some durians in 3 sizes. The number of medium durians was twice the number of large durians. The number of large durians were four times the number of small durians. He sold all the small and medium durians. He received $198 from selling
14 of the large durians.David had some durians in 3 sizes.
He sold all the small and medium durians. He received $198 from selling
14 of the large durians.
- How many medium durians did he have at first?
- How much more did he collect from selling the medium durians than the small durians?
Small durians |
Medium durians |
Large durians |
|
2x4 |
1x4 |
1x1 |
|
4x1 |
1 u |
8 u |
4 u |
(a)
The number of large durians is the repeated identity. Make the number of large durians the same. LCM of 1 and 4 is 4.
|
Small durians |
Medium durians |
Large durians |
Before |
1 u |
8 u |
4 u |
Change |
- 1 u |
- 8 u |
- 1 u |
After |
0 |
0 |
3 u |
Number of large durians that David sold
=
14 x 4 u
= 1 u
|
Small durians |
Medium durians |
Large durians |
Number |
1 u |
8 u |
1 u |
Value |
$2 |
$7 |
$9 |
Total value |
2 u |
56 u |
9 u |
Amount that David received from selling of
14 of the large durians = 9 u
9 u = 198
1 u = 198 ÷ 9 = 22
Number of medium durians at first
= 8 u
= 8 x 22
= 176
(b)
Amount that David collected more from selling the medium durians than the small durians
= 56 u - 2 u
= 54 u
= 54 x 22
= $1188
Answer(s): (a) 176; (b) $1188