Small coconuts |
Medium coconuts |
Large coconuts |
$7 |
$8 |
$9 |
Ethan had some coconuts in 3 sizes. The number of medium coconuts was twice the number of large coconuts. The number of large coconuts were five times the number of small coconuts. He sold all the small and medium coconuts. He received $648 from selling
35 of the large coconuts.Ethan had some coconuts in 3 sizes.
He sold all the small and medium coconuts. He received $648 from selling
35 of the large coconuts.
- How many medium coconuts did he have at first?
- How much more did he collect from selling the medium coconuts than the small coconuts?
Small coconuts |
Medium coconuts |
Large coconuts |
|
2x5 |
1x5 |
1x1 |
|
5x1 |
1 u |
10 u |
5 u |
(a)
The number of large coconuts is the repeated identity. Make the number of large coconuts the same. LCM of 1 and 5 is 5.
|
Small coconuts |
Medium coconuts |
Large coconuts |
Before |
1 u |
10 u |
5 u |
Change |
- 1 u |
- 10 u |
- 3 u |
After |
0 |
0 |
2 u |
Number of large coconuts that Ethan sold
=
35 x 5 u
= 3 u
|
Small coconuts |
Medium coconuts |
Large coconuts |
Number |
1 u |
10 u |
3 u |
Value |
$7 |
$8 |
$9 |
Total value |
7 u |
80 u |
27 u |
Amount that Ethan received from selling of
35 of the large coconuts = 27 u
27 u = 648
1 u = 648 ÷ 27 = 24
Number of medium coconuts at first
= 10 u
= 10 x 24
= 240
(b)
Amount that Ethan collected more from selling the medium coconuts than the small coconuts
= 80 u - 7 u
= 73 u
= 73 x 24
= $1752
Answer(s): (a) 240; (b) $1752