Jenson, Xavier and Wesley had some beads. Xavier had 80% less beads than Jenson. Xavier had
27 of Wesley's. After Jenson gave 88 beads to Xavier, he had
15 of what Xavier had. How many more beads did Wesley have than Jenson in the end?
Jenson |
Xavier |
Wesley |
5x2 |
1x2 |
|
|
2x1 |
7x1 |
10 |
2 |
7 |
|
Wesley |
Jenson |
Xavier |
Total beads of Jenson and Xavier |
Before |
7x1 = 7 u |
10x1 = 10 u |
2x1 = 2 u |
12x1 = 12 u |
Change |
|
- 88 |
+ 88 |
|
After |
7 u |
1x2 = 2 u |
5x2 = 10 u |
6x2 = 12 u |
Number of beads that Xavier had less than Jenson at first in percent
= 100% - 80%
= 20%
20% =
20100 =
15 Jenson : Xavier = 5 : 1
The number of beads that Xavier had at first is repeated. Make the number of beads that Xavier had at first the same. LCM of 1 and 2 is 2.
When Jenson gave 88 beads to Xavier, the total number of beads that Xavier and Jenson had at first and in the end remains the same. Make the total number of beads that Xavier and Jenson had the same. LCM of 12 and 6 is 12.
Number of beads that Jenson gave to Xavier
= 10 u - 2 u
= 8 u
8 u = 88
1 u = 88 ÷ 8 = 11
Number of beads that Wesley had more than Jenson in the end
= 7 u - 2 u
= 5 u
= 5 x 11
= 55
Answer(s): 55