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