Sean has 40% more buttons than Lee. Vaidev has 80% the number of buttons Sean has.
- What is the ratio of the number of Lee's buttons to the number of Vaidev's buttons?
- If the total number of buttons of Sean's and Vaidev's is 342 more than Lee's, how many buttons does Sean have?
Sean |
Lee |
Vaidev |
7x5 |
5x5 |
|
5x7 |
|
4x7 |
35 u |
25 u |
28 u |
100% + 40% = 140%
140% =
140100 =
75 Sean's buttons : Lee's buttons = 35 : 25
80% =
80100 =
45 Vaidev's buttons : Sean's buttons = 28 : 35
Lee's buttons: Vaidev's buttons = 25 : 28 (a)
Sean's buttons + Vaidev's buttons = 35 u + 28 u = 63 u
Lee's buttons = 25 u
63 u - 25 u = 342
38 u = 342
1 u = 342 ÷ 38 = 9
Number of Sean's buttons
= 35 u
= 35 x 9
= 315 (b)
Answers: (a) 25 : 28; (b) 315