Julian, Ethan and Calvin collected pens in the ratio of 7 : 10 : 9. After Calvin gave
35 to Julian and Ethan, Calvin had 365 less pens than Julian. The number of pens that Ethan had increased by 15%. How many pens did Julian and Calvin have in the end?
| |
Julian |
Ethan |
Calvin |
| Before |
7 u |
10 u |
9 u |
| Change |
+ 3.9 u |
+ 1.5 u |
- 5.4 u |
| After |
10.9 u |
11.5 u |
3.6 u |
Number of pens that Calvin gave to Julian and Ethan
=
35 x 9 u
= 5.4 u
Number of pens that Ethan received from Calvin
=
15100 x 10 u
= 1.5 u
Number of pens that Julian received from Calvin
= 5.4 u - 1.5 u
= 3.9 u
Number of less pens that Calvin had less than Julian
= 10.9 u - 3.6 u
= 7.3 u
7.3 u = 365
1 u = 365 ÷ 7.3 = 50
Number of pens that Julian and Calvin had
= 10.9 u + 3.6 u
= 14.5 u
= 14.5 x 50
= 725
Answer(s): 725
