Small guavas |
Medium guavas |
Large guavas |
$4 |
$5 |
$9 |
Riordan had some guavas in 3 sizes. The number of medium guavas was five times 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 $126 from selling
13 of the large guavas.
- How many large guavas did he have at first?
- How much less did he collect from selling the small guavas than the medium guavas?
Small guavas |
Medium guavas |
Large guavas |
|
5x3 |
1x3 |
1x1 |
|
3x1 |
1 u |
15 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 |
15 u |
3 u |
Change |
- 1 u |
- 15 u |
- 1 u |
After |
0 |
0 |
2 u |
Number of large guavas that Riordan sold
=
13 x 3 u
= 1 u
|
Small guavas |
Medium guavas |
Large guavas |
Number |
1 u |
15 u |
1 u |
Value |
$4 |
$5 |
$9 |
Total value |
4 u |
75 u |
9 u |
Amount that Riordan received from selling of
13 of the large guavas = 9 u
9 u = 126
1 u = 126 ÷ 9 = 14
Number of large guavas at first
= 3 u
= 3 x 14
= 42
(b)
Amount that Riordan collected less from selling the small guavas than the medium guavas
= 75 u - 4 u
= 71 u
= 71 x 14
= $994
Answer(s): (a) 42; (b) $994