Valen has 40% more pens than Luke. Archie has 80% the number of pens Valen has.
- What is the ratio of the number of Luke's pens to the number of Archie's pens?
- If the total number of pens of Valen's and Archie's is 304 more than Luke's, how many pens does Valen have?
Valen |
Luke |
Archie |
7x5 |
5x5 |
|
5x7 |
|
4x7 |
35 u |
25 u |
28 u |
100% + 40% = 140%
140% =
140100 =
75 Valen's pens : Luke's pens = 35 : 25
80% =
80100 =
45 Archie's pens : Valen's pens = 28 : 35
Luke's pens: Archie's pens = 25 : 28 (a)
Valen's pens + Archie's pens = 35 u + 28 u = 63 u
Luke's pens = 25 u
63 u - 25 u = 304
38 u = 304
1 u = 304 ÷ 38 = 8
Number of Valen's pens
= 35 u
= 35 x 8
= 280 (b)
Answers: (a) 25 : 28; (b) 280