Small dragon fruits |
Medium dragon fruits |
Large dragon fruits |
$4 |
$5 |
$8 |
Ian had some dragon fruits in 3 sizes. The number of medium dragon fruits was thrice the number of large dragon fruits. The number of large dragon fruits were five times the number of small dragon fruits. He sold all the small and medium dragon fruits. He received $80 from selling
25 of the large dragon fruits.Ian had some dragon fruits in 3 sizes.
He sold all the small and medium dragon fruits. He received $80 from selling
25 of the large dragon fruits.
- How many medium dragon fruits did he have at first?
- How much more did he collect from selling the medium dragon fruits than the small dragon fruits?
Small dragon fruits |
Medium dragon fruits |
Large dragon fruits |
|
3x5 |
1x5 |
1x1 |
|
5x1 |
1 u |
15 u |
5 u |
(a)
The number of large dragon fruits is the repeated identity. Make the number of large dragon fruits the same. LCM of 1 and 5 is 5.
|
Small dragon fruits |
Medium dragon fruits |
Large dragon fruits |
Before |
1 u |
15 u |
5 u |
Change |
- 1 u |
- 15 u |
- 2 u |
After |
0 |
0 |
3 u |
Number of large dragon fruits that Ian sold
=
25 x 5 u
= 2 u
|
Small dragon fruits |
Medium dragon fruits |
Large dragon fruits |
Number |
1 u |
15 u |
2 u |
Value |
$4 |
$5 |
$8 |
Total value |
4 u |
75 u |
16 u |
Amount that Ian received from selling of
25 of the large dragon fruits = 16 u
16 u = 80
1 u = 80 ÷ 16 = 5
Number of medium dragon fruits at first
= 15 u
= 15 x 5
= 75
(b)
Amount that Ian collected more from selling the medium dragon fruits than the small dragon fruits
= 75 u - 4 u
= 71 u
= 71 x 5
= $355
Answer(s): (a) 75; (b) $355