Daniel has 40% more buttons than Jeremy. Nick has 80% the number of buttons Daniel has.
- What is the ratio of the number of Jeremy's buttons to the number of Nick's buttons?
- If the total number of buttons of Daniel's and Nick's is 380 more than Jeremy's, how many buttons does Daniel have?
Daniel |
Jeremy |
Nick |
7x5 |
5x5 |
|
5x7 |
|
4x7 |
35 u |
25 u |
28 u |
100% + 40% = 140%
140% =
140100 =
75 Daniel's buttons : Jeremy's buttons = 35 : 25
80% =
80100 =
45 Nick's buttons : Daniel's buttons = 28 : 35
Jeremy's buttons: Nick's buttons = 25 : 28 (a)
Daniel's buttons + Nick's buttons = 35 u + 28 u = 63 u
Jeremy's buttons = 25 u
63 u - 25 u = 380
38 u = 380
1 u = 380 ÷ 38 = 10
Number of Daniel's buttons
= 35 u
= 35 x 10
= 350 (b)
Answers: (a) 25 : 28; (b) 350