Small guavas |
Medium guavas |
Large guavas |
$4 |
$7 |
$9 |
Peter had some guavas in 3 sizes. The number of medium guavas was twice the number of large guavas. The number of large guavas were five times the number of small guavas. He sold all the small and medium guavas. He received $99 from selling
15 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 |
|
2x5 |
1x5 |
1x1 |
|
5x1 |
1 u |
10 u |
5 u |
(a)
The number of large guavas is the repeated identity. Make the number of large guavas the same. LCM of 1 and 5 is 5.
|
Small guavas |
Medium guavas |
Large guavas |
Before |
1 u |
10 u |
5 u |
Change |
- 1 u |
- 10 u |
- 1 u |
After |
0 |
0 |
4 u |
Number of large guavas that Peter sold
=
15 x 5 u
= 1 u
|
Small guavas |
Medium guavas |
Large guavas |
Number |
1 u |
10 u |
1 u |
Value |
$4 |
$7 |
$9 |
Total value |
4 u |
70 u |
9 u |
Amount that Peter received from selling of
15 of the large guavas = 9 u
9 u = 99
1 u = 99 ÷ 9 = 11
Number of large guavas at first
= 5 u
= 5 x 11
= 55
(b)
Amount that Peter collected less from selling the small guavas than the medium guavas
= 70 u - 4 u
= 66 u
= 66 x 11
= $726
Answer(s): (a) 55; (b) $726