Small mangoes |
Medium mangoes |
Large mangoes |
$4 |
$5 |
$7 |
Ethan had some mangoes in 3 sizes. The number of medium mangoes was four times the number of large mangoes. The number of large mangoes were thrice the number of small mangoes. He sold all the small and medium mangoes. He received $182 from selling
23 of the large mangoes.
- How many large mangoes did he have at first?
- How much less did he collect from selling the small mangoes than the medium mangoes?
Small mangoes |
Medium mangoes |
Large mangoes |
|
4x3 |
1x3 |
1x1 |
|
3x1 |
1 u |
12 u |
3 u |
(a)
The number of large mangoes is the repeated identity. Make the number of large mangoes the same. LCM of 1 and 3 is 3.
|
Small mangoes |
Medium mangoes |
Large mangoes |
Before |
1 u |
12 u |
3 u |
Change |
- 1 u |
- 12 u |
- 2 u |
After |
0 |
0 |
1 u |
Number of large mangoes that Ethan sold
=
23 x 3 u
= 2 u
|
Small mangoes |
Medium mangoes |
Large mangoes |
Number |
1 u |
12 u |
2 u |
Value |
$4 |
$5 |
$7 |
Total value |
4 u |
60 u |
14 u |
Amount that Ethan received from selling of
23 of the large mangoes = 14 u
14 u = 182
1 u = 182 ÷ 14 = 13
Number of large mangoes at first
= 3 u
= 3 x 13
= 39
(b)
Amount that Ethan collected less from selling the small mangoes than the medium mangoes
= 60 u - 4 u
= 56 u
= 56 x 13
= $728
Answer(s): (a) 39; (b) $728