Small apricots |
Medium apricots |
Large apricots |
$5 |
$6 |
$8 |
Andy had some apricots in 3 sizes. The number of medium apricots was four times the number of large apricots. The number of large apricots were five times the number of small apricots. He sold all the small and medium apricots. He received $264 from selling
35 of the large apricots.Andy had some apricots in 3 sizes.
He sold all the small and medium apricots. He received $264 from selling
35 of the large apricots.
- How many medium apricots did he have at first?
- How much more did he collect from selling the medium apricots than the small apricots?
Small apricots |
Medium apricots |
Large apricots |
|
4x5 |
1x5 |
1x1 |
|
5x1 |
1 u |
20 u |
5 u |
(a)
The number of large apricots is the repeated identity. Make the number of large apricots the same. LCM of 1 and 5 is 5.
|
Small apricots |
Medium apricots |
Large apricots |
Before |
1 u |
20 u |
5 u |
Change |
- 1 u |
- 20 u |
- 3 u |
After |
0 |
0 |
2 u |
Number of large apricots that Andy sold
=
35 x 5 u
= 3 u
|
Small apricots |
Medium apricots |
Large apricots |
Number |
1 u |
20 u |
3 u |
Value |
$5 |
$6 |
$8 |
Total value |
5 u |
120 u |
24 u |
Amount that Andy received from selling of
35 of the large apricots = 24 u
24 u = 264
1 u = 264 ÷ 24 = 11
Number of medium apricots at first
= 20 u
= 20 x 11
= 220
(b)
Amount that Andy collected more from selling the medium apricots than the small apricots
= 120 u - 5 u
= 115 u
= 115 x 11
= $1265
Answer(s): (a) 220; (b) $1265