Zara, Jane and Penelope have 252 buttons. Zara has
34 as many buttons as Jane. Penelope's buttons is
15 of the total number of Zara's and Jane's buttons. How many buttons must Jane give to Penelope so that both Zara and Penelope will have the same number of buttons?
Zara |
Jane |
Penelope |
Total |
5x7 = 35 u |
1x7 = 7 u |
|
3x5 = 15 u |
4x5 = 20 u |
|
|
15 u |
20 u |
7 u |
252 |
Total number of buttons
= 15 u + 20 u + 7 u
= 42 u
42 u = 252
1 u = 252 ÷ 42 = 6
Zara |
Jane |
Penelope |
Total |
15 u |
20 u |
7 u |
252 |
|
- 8 u |
+ 8 u |
|
15 u |
12 u |
15 u |
252 |
Number of buttons that Jane must give to Penelope
= 15 u - 7 u
= 8 u
= 8 x 6
= 48
Answer(s): 48