Linda had 4 times as many buttons as cards. After she used 94 buttons and 6 cards, there were twice as many cards as buttons.
- How many buttons did Linda have in the end?
- How many cards did Linda have at first?
| |
Buttons |
Cards |
Comparing buttons
and cards at first |
4 p
|
1 p
|
| Before |
1 u + 94 |
2 u + 6 |
| Change |
- 94 |
- 6 |
| After |
1 u |
2 u |
(a)
1 u + 94 = 4 p --- (1)
2 u + 6 = 1 p --- (2)
(2)
x 4
8 u + 24 = 4 p ---(3)
(3) = (1)
8 u + 24 = 1 u + 94
8 u - 1 u = 94 - 24
7 u = 70
1 u = 70 ÷ 7 = 10
Number of buttons that Linda had in the end
= 1 u
= 10
(b)
Number of cards that Linda had at first
= 2 u + 6
= 2 x 10 + 6
= 20 + 6
= 26
Answer(s): (a) 10; (b) 26
