Sam, Howard and Charles collected pens in the ratio of 7 : 7 : 6. After Charles gave
35 to Sam and Howard, Charles had 136 less pens than Sam. The number of pens that Howard had increased by 20%. How many pens did Sam and Charles have in the end?
| |
Sam |
Howard |
Charles |
| Before |
7 u |
7 u |
6 u |
| Change |
+ 2.2 u |
+ 1.4 u |
- 3.6 u |
| After |
9.2 u |
8.4 u |
2.4 u |
Number of pens that Charles gave to Sam and Howard
=
35 x 6 u
= 3.6 u
Number of pens that Howard received from Charles
=
20100 x 7 u
= 1.4 u
Number of pens that Sam received from Charles
= 3.6 u - 1.4 u
= 2.2 u
Number of less pens that Charles had less than Sam
= 9.2 u - 2.4 u
= 6.8 u
6.8 u = 136
1 u = 136 ÷ 6.8 = 20
Number of pens that Sam and Charles had
= 9.2 u + 2.4 u
= 11.6 u
= 11.6 x 20
= 232
Answer(s): 232
