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