Small papayas |
Medium papayas |
Large papayas |
$3 |
$5 |
$7 |
Ahmad had some papayas in 3 sizes. The number of medium papayas was thrice the number of large papayas. The number of large papayas were five times the number of small papayas. He sold all the small and medium papayas. He received $84 from selling
35 of the large papayas.
- How many large papayas did he have at first?
- How much less did he collect from selling the small papayas than the medium papayas?
Small papayas |
Medium papayas |
Large papayas |
|
3x5 |
1x5 |
1x1 |
|
5x1 |
1 u |
15 u |
5 u |
(a)
The number of large papayas is the repeated identity. Make the number of large papayas the same. LCM of 1 and 5 is 5.
|
Small papayas |
Medium papayas |
Large papayas |
Before |
1 u |
15 u |
5 u |
Change |
- 1 u |
- 15 u |
- 3 u |
After |
0 |
0 |
2 u |
Number of large papayas that Ahmad sold
=
35 x 5 u
= 3 u
|
Small papayas |
Medium papayas |
Large papayas |
Number |
1 u |
15 u |
3 u |
Value |
$3 |
$5 |
$7 |
Total value |
3 u |
75 u |
21 u |
Amount that Ahmad received from selling of
35 of the large papayas = 21 u
21 u = 84
1 u = 84 ÷ 21 = 4
Number of large papayas at first
= 5 u
= 5 x 4
= 20
(b)
Amount that Ahmad collected less from selling the small papayas than the medium papayas
= 75 u - 3 u
= 72 u
= 72 x 4
= $288
Answer(s): (a) 20; (b) $288