Small avocados |
Medium avocados |
Large avocados |
$2 |
$5 |
$9 |
Nick had some avocados in 3 sizes. The number of medium avocados was four times the number of large avocados. The number of large avocados were five times the number of small avocados. He sold all the small and medium avocados. He received $324 from selling
35 of the large avocados.
- How many large avocados did he have at first?
- How much less did he collect from selling the small avocados than the medium avocados?
Small avocados |
Medium avocados |
Large avocados |
|
4x5 |
1x5 |
1x1 |
|
5x1 |
1 u |
20 u |
5 u |
(a)
The number of large avocados is the repeated identity. Make the number of large avocados the same. LCM of 1 and 5 is 5.
|
Small avocados |
Medium avocados |
Large avocados |
Before |
1 u |
20 u |
5 u |
Change |
- 1 u |
- 20 u |
- 3 u |
After |
0 |
0 |
2 u |
Number of large avocados that Nick sold
=
35 x 5 u
= 3 u
|
Small avocados |
Medium avocados |
Large avocados |
Number |
1 u |
20 u |
3 u |
Value |
$2 |
$5 |
$9 |
Total value |
2 u |
100 u |
27 u |
Amount that Nick received from selling of
35 of the large avocados = 27 u
27 u = 324
1 u = 324 ÷ 27 = 12
Number of large avocados at first
= 5 u
= 5 x 12
= 60
(b)
Amount that Nick collected less from selling the small avocados than the medium avocados
= 100 u - 2 u
= 98 u
= 98 x 12
= $1176
Answer(s): (a) 60; (b) $1176