Tom has 10% as many stickers as Warren. If Tom gives away 50% of the stickers and Warren gives away 90% of his stickers, they will have 18 stickers altogether. How many stickers do the two of them have?
|
Tom |
Warren |
Total |
Comparing Tom and Warren at first |
1x2 = 2 u |
10x2 = 20 u |
|
Before |
2x1 = 2 u |
10x2 = 20 u |
|
Change |
- 1x1 = - 1 u |
- 9x2 = - 18 u |
|
After |
1x1 = 1 u |
1x2 = 2 u |
18 |
10% =
10100 =
110 50% =
50100 =
12 90% =
90100 =
910 The number of stickers that Tom has at first is repeated. Make the number of stickers that Tom has the same. LCM of 1 and 2 is 2 u.
The number of stickers that Warren has at first is repeated. Make the number of stickers that Warren has the same. LCM of 10 and 10 is 20 u.
Number of stickers in the end
= 1 u + 2 u
= 3 u
3 u = 18
1 u = 18 ÷ 3 = 6
Total number of stickers that the two of them have
= 2 u + 20 u
= 22 u
= 22 x 6
= 132
Answer(s): 132