Zane, Justin and Ivan have some erasers. The ratios of their erasers are as follows:
Zane : (Zane + Justin + Ivan) = 1 : 4
Justin : (Zane + Ivan) = 1 : 4
Ivan has 35 erasers more than Justin. In the end, Ivan gives away all he has to Justin and Zane so that both Justin and Zane end up with the same number of erasers, how many erasers has Justin received from Ivan?
Justin |
Ivan |
Zane |
Total |
3x5 |
1x5 |
4x5 |
1x4 |
4x4 |
5x4 |
4 u |
11 u |
5 u |
20 u |
The total number of erasers is repeated. Make the total number of erasers the same. LCM of 4 and 5 is 20.
Number of erasers that Ivan has more than Justin
= 11 u - 4 u
= 7 u
7 u = 35
1 u = 35 ÷ 7 = 5
|
Justin |
Ivan |
Zane |
Before |
4 u |
11 u |
5 u |
Change |
+ 6 u |
- 11 u |
+ 5 u |
After |
10 u |
0 u |
10 u |
Number of erasers that Justin has received from Ivan
= 10 u - 4 u
= 6 u
= 6 x 5
= 30
Answer(s): 30