Caden, Owen and Christopher collected pens in the ratio of 7 : 7 : 5. After Christopher gave
710 to Caden and Owen, Christopher had 83 less pens than Caden. The number of pens that Owen had increased by 10%. How many pens did Caden and Christopher have in the end?
|
Caden |
Owen |
Christopher |
Before |
7 u |
7 u |
5 u |
Change |
+ 2.8 u |
+ 0.7 u |
- 3.5 u |
After |
9.8 u |
7.7 u |
1.5 u |
Number of pens that Christopher gave to Caden and Owen
=
710 x 5 u
= 3.5 u
Number of pens that Owen received from Christopher
=
10100 x 7 u
= 0.7 u
Number of pens that Caden received from Christopher
= 3.5 u - 0.7 u
= 2.8 u
Number of less pens that Christopher had less than Caden
= 9.8 u - 1.5 u
= 8.3 u
8.3 u = 83
1 u = 83 ÷ 8.3 = 10
Number of pens that Caden and Christopher had
= 9.8 u + 1.5 u
= 11.3 u
= 11.3 x 10
= 113
Answer(s): 113