Japheth had twice as many beads as Julian. After Julian lost 14 beads and Japheth bought 14 beads, Japheth had 4 times as many beads as Julian. How many beads did Japheth and Julian have altogether at first?
| |
Japheth |
Julian |
Total |
| Before |
2x5 =
10 u |
1x5 =
5 u |
3x5 =
15 u |
| Change |
+ 14 |
- 14 |
|
| After |
4x3 =
12 u |
1x3 =
3 u |
5x3 =
15 u |
The number of beads that Julian lost and bought is the same. So, the total number of beads remains unchanged. Make the total number of beads the same. LCM of 3 and 5 is 15.
Number of beads that Japheth bought
= 12 u - 10 u
= 2 u
2 u = 14
1 u = 14 ÷ 2 = 7
Number of cards that they had altogether at first
= 15 u
= 15 x 7
= 105
Answer(s): 105
