Small avocados |
Medium avocados |
Large avocados |
$5 |
$6 |
$8 |
Neave 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 $304 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 |
|
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 |
- 2 u |
After |
0 |
0 |
3 u |
Number of large avocados that Neave sold
=
25 x 5 u
= 2 u
|
Small avocados |
Medium avocados |
Large avocados |
Number |
1 u |
20 u |
2 u |
Value |
$5 |
$6 |
$8 |
Total value |
5 u |
120 u |
16 u |
Amount that Neave received from selling of
25 of the large avocados = 16 u
16 u = 304
1 u = 304 ÷ 16 = 19
Number of large avocados at first
= 5 u
= 5 x 19
= 95
(b)
Amount that Neave collected less from selling the small avocados than the medium avocados
= 120 u - 5 u
= 115 u
= 115 x 19
= $2185
Answer(s): (a) 95; (b) $2185