Small durians |
Medium durians |
Large durians |
$2 |
$6 |
$8 |
Gabriel had some durians in 3 sizes. The number of medium durians was four times the number of large durians. The number of large durians were five times the number of small durians. He sold all the small and medium durians. He received $144 from selling
15 of the large durians.Gabriel had some durians in 3 sizes.
He sold all the small and medium durians. He received $144 from selling
15 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 |
|
4x5 |
1x5 |
1x1 |
|
5x1 |
1 u |
20 u |
5 u |
(a)
The number of large durians is the repeated identity. Make the number of large durians the same. LCM of 1 and 5 is 5.
|
Small durians |
Medium durians |
Large durians |
Before |
1 u |
20 u |
5 u |
Change |
- 1 u |
- 20 u |
- 1 u |
After |
0 |
0 |
4 u |
Number of large durians that Gabriel sold
=
15 x 5 u
= 1 u
|
Small durians |
Medium durians |
Large durians |
Number |
1 u |
20 u |
1 u |
Value |
$2 |
$6 |
$8 |
Total value |
2 u |
120 u |
8 u |
Amount that Gabriel received from selling of
15 of the large durians = 8 u
8 u = 144
1 u = 144 ÷ 8 = 18
Number of medium durians at first
= 20 u
= 20 x 18
= 360
(b)
Amount that Gabriel collected more from selling the medium durians than the small durians
= 120 u - 2 u
= 118 u
= 118 x 18
= $2124
Answer(s): (a) 360; (b) $2124