Small guavas |
Medium guavas |
Large guavas |
$6 |
$8 |
$9 |
Harry had some guavas in 3 sizes. The number of medium guavas was twice the number of large guavas. The number of large guavas were thrice the number of small guavas. He sold all the small and medium guavas. He received $396 from selling
23 of the large guavas.Harry had some guavas in 3 sizes.
He sold all the small and medium guavas. He received $396 from selling
23 of the large guavas.
- How many medium guavas did he have at first?
- How much more did he collect from selling the medium guavas than the small guavas?
Small guavas |
Medium guavas |
Large guavas |
|
2x3 |
1x3 |
1x1 |
|
3x1 |
1 u |
6 u |
3 u |
(a)
The number of large guavas is the repeated identity. Make the number of large guavas the same. LCM of 1 and 3 is 3.
|
Small guavas |
Medium guavas |
Large guavas |
Before |
1 u |
6 u |
3 u |
Change |
- 1 u |
- 6 u |
- 2 u |
After |
0 |
0 |
1 u |
Number of large guavas that Harry sold
=
23 x 3 u
= 2 u
|
Small guavas |
Medium guavas |
Large guavas |
Number |
1 u |
6 u |
2 u |
Value |
$6 |
$8 |
$9 |
Total value |
6 u |
48 u |
18 u |
Amount that Harry received from selling of
23 of the large guavas = 18 u
18 u = 396
1 u = 396 ÷ 18 = 22
Number of medium guavas at first
= 6 u
= 6 x 22
= 132
(b)
Amount that Harry collected more from selling the medium guavas than the small guavas
= 48 u - 6 u
= 42 u
= 42 x 22
= $924
Answer(s): (a) 132; (b) $924