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