Rael has 10% as many beads as Julian. If Rael gives away 25% of the beads and Julian gives away 60% of his beads, they will have 95 beads altogether. How many beads do the two of them have?
| |
Rael |
Julian |
Total |
Comparing Rael
and Julian at first |
1x4 =
4 u |
10x4 =
40 u |
|
| Before |
4x1 =
4 u |
5x8 =
40 u |
|
| Change |
- 1x1 =
- 1 u |
- 3x8 =
- 24 u |
|
| After |
3x1 =
3 u |
2x8 =
16 u |
95 |
10% =
10100 =
110 25% =
25100 =
14 60% =
60100 =
35 The number of beads that Rael has at first is repeated. Make the number of beads that Rael has the same. LCM of 1 and 4 is 4 u.
The number of beads that Julian has at first is repeated. Make the number of beads that Julian has the same. LCM of 10 and 5 is 40 u.
Number of beads in the end
= 3 u + 16 u
= 19 u
19 u = 95
1 u = 95 ÷ 19 = 5
Total number of beads that the two of them have
= 4 u + 40 u
= 44 u
= 44 x 5
= 220
Answer(s): 220
