Small apricots |
Medium apricots |
Large apricots |
$3 |
$4 |
$9 |
Japheth 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 $198 from selling
25 of the large apricots.
- How many large apricots did he have at first?
- How much less did he collect from selling the small apricots than the medium 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 |
- 2 u |
After |
0 |
0 |
3 u |
Number of large apricots that Japheth sold
=
25 x 5 u
= 2 u
|
Small apricots |
Medium apricots |
Large apricots |
Number |
1 u |
15 u |
2 u |
Value |
$3 |
$4 |
$9 |
Total value |
3 u |
60 u |
18 u |
Amount that Japheth received from selling of
25 of the large apricots = 18 u
18 u = 198
1 u = 198 ÷ 18 = 11
Number of large apricots at first
= 5 u
= 5 x 11
= 55
(b)
Amount that Japheth collected less from selling the small apricots than the medium apricots
= 60 u - 3 u
= 57 u
= 57 x 11
= $627
Answer(s): (a) 55; (b) $627