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