Small papayas |
Medium papayas |
Large papayas |
$3 |
$6 |
$8 |
Albert 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 $240 from selling
35 of the large papayas.Albert had some papayas in 3 sizes.
He sold all the small and medium papayas. He received $240 from selling
35 of the large papayas.
- How many medium papayas did he have at first?
- How much more did he collect from selling the medium papayas than the small 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 Albert sold
=
35 x 5 u
= 3 u
|
Small papayas |
Medium papayas |
Large papayas |
Number |
1 u |
15 u |
3 u |
Value |
$3 |
$6 |
$8 |
Total value |
3 u |
90 u |
24 u |
Amount that Albert received from selling of
35 of the large papayas = 24 u
24 u = 240
1 u = 240 ÷ 24 = 10
Number of medium papayas at first
= 15 u
= 15 x 10
= 150
(b)
Amount that Albert collected more from selling the medium papayas than the small papayas
= 90 u - 3 u
= 87 u
= 87 x 10
= $870
Answer(s): (a) 150; (b) $870