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