Zara had the same number of black, yellow and silver buttons at first. After giving some black and yellow buttons and 43 silver buttons away, Zara had 152 buttons left. There were 5 times as many black buttons as yellow buttons left. The number of silver buttons left was 24 fewer than the number of black buttons left. How many silver buttons did she have at first?
|
Yellow |
Black |
Silver |
Total |
Before |
5 u + 19 |
5 u + 19 |
5 u + 19 |
|
Change |
- 4 u - 19 |
- 19 |
- 43 |
|
After |
1 u |
5 u |
5 u - 24 |
152 |
Zara had the same number of black, yellow and silver buttons at first.
Total number of buttons in the end
= 1 u + 5 u + 5 u - 24
= 11 u - 24
11 u - 24 = 152
11 u = 152 + 24
11 u = 176
1 u = 176 ÷ 11 = 16
Number of silver buttons that Zara had at first
= 5 u - 24 + 43
= 5 u + 19
= 5 x 16 + 19
= 99
Answer(s): 99