Small apricots |
Medium apricots |
Large apricots |
$2 |
$3 |
$4 |
Jeremy had some apricots in 3 sizes. The number of medium apricots was thrice 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 $20 from selling
15 of the large apricots.Jeremy had some apricots in 3 sizes.
He sold all the small and medium apricots. He received $20 from selling
15 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 |
|
3x5 |
1x5 |
1x1 |
|
5x1 |
1 u |
15 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 |
15 u |
5 u |
Change |
- 1 u |
- 15 u |
- 1 u |
After |
0 |
0 |
4 u |
Number of large apricots that Jeremy sold
=
15 x 5 u
= 1 u
|
Small apricots |
Medium apricots |
Large apricots |
Number |
1 u |
15 u |
1 u |
Value |
$2 |
$3 |
$4 |
Total value |
2 u |
45 u |
4 u |
Amount that Jeremy received from selling of
15 of the large apricots = 4 u
4 u = 20
1 u = 20 ÷ 4 = 5
Number of medium apricots at first
= 15 u
= 15 x 5
= 75
(b)
Amount that Jeremy collected more from selling the medium apricots than the small apricots
= 45 u - 2 u
= 43 u
= 43 x 5
= $215
Answer(s): (a) 75; (b) $215