Liam has 70% as many buttons as Sean. If Liam gives away 20% of the buttons and Sean gives away 50% of his buttons, they will have 265 buttons altogether. How many buttons do the two of them have?
| |
Liam |
Sean |
Total |
Comparing Liam
and Sean at first |
7x5 =
35 u |
10x5 =
50 u |
|
| Before |
5x7 =
35 u |
2x25 =
50 u |
|
| Change |
- 1x7 =
- 7 u |
- 1x25 =
- 25 u |
|
| After |
4x7 =
28 u |
1x25 =
25 u |
265 |
70% =
70100 =
710 20% =
20100 =
15 50% =
50100 =
12 The number of buttons that Liam has at first is repeated. Make the number of buttons that Liam has the same. LCM of 7 and 5 is 35 u.
The number of buttons that Sean has at first is repeated. Make the number of buttons that Sean has the same. LCM of 10 and 2 is 50 u.
Number of buttons in the end
= 28 u + 25 u
= 53 u
53 u = 265
1 u = 265 ÷ 53 = 5
Total number of buttons that the two of them have
= 35 u + 50 u
= 85 u
= 85 x 5
= 425
Answer(s): 425
