Kylie and Natalie have some beads. If Kylie gives 15 beads to Natalie, Natalie will have 4 times the number of beads as Kylie. If Natalie gives 36 beads to Kylie, Kylie will have
25 as many beads as Natalie. How many beads does Kylie have at first?
|
Case 1 |
Case 2 |
|
Kylie |
Natalie |
Kylie |
Natalie |
Before |
7 u + 15 |
28 u - 15 |
10 u - 36 |
25 u + 36 |
Change |
- 15 |
+ 15 |
+ 36 |
- 36 |
After |
1x7 = 7 u |
4x7 = 28 u |
2x5 = 10 u |
5x5 = 25 u |
The total number of beads in both cases remains unchanged. Make the total number of beads in both cases the same. LCM of 5 and 7 is 35.
Number of beads that Kylie had at first is the same in both cases.
10 u - 36 = 7 u + 15
10 u - 7 u = 15 + 36
3 u = 51
1 u = 17
Number of beads that Kylie had at first
= 7 u + 15
= 7 x 17 + 15
= 119 + 15
= 134
Answer(s): 134