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