Small avocados |
Medium avocados |
Large avocados |
$3 |
$7 |
$9 |
Caden had some avocados in 3 sizes. The number of medium avocados was twice 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 $252 from selling
25 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 |
|
2x5 |
1x5 |
1x1 |
|
5x1 |
1 u |
10 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 |
10 u |
5 u |
Change |
- 1 u |
- 10 u |
- 2 u |
After |
0 |
0 |
3 u |
Number of large avocados that Caden sold
=
25 x 5 u
= 2 u
|
Small avocados |
Medium avocados |
Large avocados |
Number |
1 u |
10 u |
2 u |
Value |
$3 |
$7 |
$9 |
Total value |
3 u |
70 u |
18 u |
Amount that Caden received from selling of
25 of the large avocados = 18 u
18 u = 252
1 u = 252 ÷ 18 = 14
Number of large avocados at first
= 5 u
= 5 x 14
= 70
(b)
Amount that Caden collected less from selling the small avocados than the medium avocados
= 70 u - 3 u
= 67 u
= 67 x 14
= $938
Answer(s): (a) 70; (b) $938