Fabian has 10% as many stickers as Vincent. If Fabian gives away 20% of the stickers and Vincent gives away 70% of his stickers, they will have 190 stickers altogether. How many stickers do the two of them have?
|
Fabian |
Vincent |
Total |
Comparing Fabian and Vincent at first |
1x5 = 5 u |
10x5 = 50 u |
|
Before |
5x1 = 5 u |
10x5 = 50 u |
|
Change |
- 1x1 = - 1 u |
- 7x5 = - 35 u |
|
After |
4x1 = 4 u |
3x5 = 15 u |
190 |
10% =
10100 =
110 20% =
20100 =
15 70% =
70100 =
710 The number of stickers that Fabian has at first is repeated. Make the number of stickers that Fabian has the same. LCM of 1 and 5 is 5 u.
The number of stickers that Vincent has at first is repeated. Make the number of stickers that Vincent has the same. LCM of 10 and 10 is 50 u.
Number of stickers in the end
= 4 u + 15 u
= 19 u
19 u = 190
1 u = 190 ÷ 19 = 10
Total number of stickers that the two of them have
= 5 u + 50 u
= 55 u
= 55 x 10
= 550
Answer(s): 550