Cody had
34 as many pens as Henry. Henry had
47 as many pens as Winnie. After Cody and Winnie gave 12 pens to Henry, Henry had thrice as many pens as Cody. Winnie then had the same number of pens as Henry.
- What was the ratio of the number of pens Winnie had to the number of pens Cody had in the beginning? Answer in simplest form.
- How many pens did Henry have in the end?
Cody |
Henry |
Winnie |
3 |
4 |
|
|
4 |
7 |
3 |
4 |
7 |
(a)
The number of pens that Henry is repeated.
Ratio of the number of pens that Winnie had to the number of pens that Cody had in the beginning = 7 : 3
|
Cody |
Henry |
Winnie |
Total |
Before |
3x1 = 3 u |
4x1 = 4 u |
7x1 = 7 u |
14x1 = 14 u |
Change |
- 12 |
+ 24 |
- 12 |
|
After |
1x2 = 2 u |
3x2 = 6 u |
3x2 = 6 u |
7x2 = 14 u |
The total number of pens at first and in the end remains unchanged. Make the total number of pens the same. LCM of 14 and 7 is 14.
Number of pens that Henry received from Cody and Winnie
= 2 x 12
= 24
Number of pens that Henry received from Cody and Winnie
= 2 x 1 u
= 2 u
2 u = 12
1 u = 12 ÷ 2 = 6
Number of pens that Ashley had in the end
= 6 u
= 6 x 6
= 36
Answer(s): (a) 7 : 3; (b) 36