Small dragon fruits |
Medium dragon fruits |
Large dragon fruits |
$3 |
$8 |
$9 |
Reggie had some dragon fruits in 3 sizes. The number of medium dragon fruits was twice 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 $81 from selling
15 of the large dragon fruits.Reggie had some dragon fruits in 3 sizes.
He sold all the small and medium dragon fruits. He received $81 from selling
15 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 |
|
2x5 |
1x5 |
1x1 |
|
5x1 |
1 u |
10 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 |
10 u |
5 u |
Change |
- 1 u |
- 10 u |
- 1 u |
After |
0 |
0 |
4 u |
Number of large dragon fruits that Reggie sold
=
15 x 5 u
= 1 u
|
Small dragon fruits |
Medium dragon fruits |
Large dragon fruits |
Number |
1 u |
10 u |
1 u |
Value |
$3 |
$8 |
$9 |
Total value |
3 u |
80 u |
9 u |
Amount that Reggie received from selling of
15 of the large dragon fruits = 9 u
9 u = 81
1 u = 81 ÷ 9 = 9
Number of medium dragon fruits at first
= 10 u
= 10 x 9
= 90
(b)
Amount that Reggie collected more from selling the medium dragon fruits than the small dragon fruits
= 80 u - 3 u
= 77 u
= 77 x 9
= $693
Answer(s): (a) 90; (b) $693