Bobby has 30% as many stickers as Howard. If Bobby gives away 20% of the stickers and Howard gives away 10% of his stickers, they will have 171 stickers altogether. How many stickers do the two of them have?
|
Bobby |
Howard |
Total |
Comparing Bobby and Howard at first |
3x5 = 15 u |
10x5 = 50 u |
|
Before |
5x3 = 15 u |
10x5 = 50 u |
|
Change |
- 1x3 = - 3 u |
- 1x5 = - 5 u |
|
After |
4x3 = 12 u |
9x5 = 45 u |
171 |
30% =
30100 =
310 20% =
20100 =
15 10% =
10100 =
110 The number of stickers that Bobby has at first is repeated. Make the number of stickers that Bobby has the same. LCM of 3 and 5 is 15 u.
The number of stickers that Howard has at first is repeated. Make the number of stickers that Howard has the same. LCM of 10 and 10 is 50 u.
Number of stickers in the end
= 12 u + 45 u
= 57 u
57 u = 171
1 u = 171 ÷ 57 = 3
Total number of stickers that the two of them have
= 15 u + 50 u
= 65 u
= 65 x 3
= 195
Answer(s): 195