Reggie, Nick and Cole collected pens in the ratio of 11 : 5 : 4. After Cole gave
35 to Reggie and Nick, Cole had 392 less pens than Reggie. The number of pens that Nick had increased by 40%. How many pens did Reggie and Cole have in the end?
| |
Reggie |
Nick |
Cole |
| Before |
11 u |
5 u |
4 u |
| Change |
+ 0.4 u |
+ 2 u |
- 2.4 u |
| After |
11.4 u |
7 u |
1.6 u |
Number of pens that Cole gave to Reggie and Nick
=
35 x 4 u
= 2.4 u
Number of pens that Nick received from Cole
=
40100 x 5 u
= 2 u
Number of pens that Reggie received from Cole
= 2.4 u - 2 u
= 0.4 u
Number of less pens that Cole had less than Reggie
= 11.4 u - 1.6 u
= 9.8 u
9.8 u = 392
1 u = 392 ÷ 9.8 = 40
Number of pens that Reggie and Cole had
= 11.4 u + 1.6 u
= 13 u
= 13 x 40
= 520
Answer(s): 520
