Perry has 10% as many erasers as Liam. If Perry gives away 25% of the erasers and Liam gives away 30% of his erasers, they will have 341 erasers altogether. How many erasers do the two of them have?
|
Perry |
Liam |
Total |
Comparing Perry and Liam at first |
1x4 = 4 u |
10x4 = 40 u |
|
Before |
4x1 = 4 u |
10x4 = 40 u |
|
Change |
- 1x1 = - 1 u |
- 3x4 = - 12 u |
|
After |
3x1 = 3 u |
7x4 = 28 u |
341 |
10% =
10100 =
110 25% =
25100 =
14 30% =
30100 =
310 The number of erasers that Perry has at first is repeated. Make the number of erasers that Perry has the same. LCM of 1 and 4 is 4 u.
The number of erasers that Liam has at first is repeated. Make the number of erasers that Liam has the same. LCM of 10 and 10 is 40 u.
Number of erasers in the end
= 3 u + 28 u
= 31 u
31 u = 341
1 u = 341 ÷ 31 = 11
Total number of erasers that the two of them have
= 4 u + 40 u
= 44 u
= 44 x 11
= 484
Answer(s): 484