Jen had the same number of red, yellow and gold buttons at first. After giving some red and yellow buttons and 69 gold buttons away, Jen had 179 buttons left. There were 4 times as many red buttons as yellow buttons left. The number of gold buttons left was 19 fewer than the number of red buttons left. How many gold buttons did she have at first?
| |
Yellow |
Red |
Gold |
Total |
| Before |
4 u + 50 |
4 u + 50 |
4 u + 50 |
|
| Change |
- 3 u - 50 |
- 50 |
- 69 |
|
| After |
1 u |
4 u |
4 u - 19 |
179 |
Jen had the same number of red, yellow and gold buttons at first.
Total number of buttons in the end
= 1 u + 4 u + 4 u - 19
= 9 u - 19
9 u - 19 = 179
9 u = 179 + 19
9 u = 198
1 u = 198 ÷ 9 = 22
Number of gold buttons that Jen had at first
= 4 u - 19 + 69
= 4 u + 50
= 4 x 22 + 50
= 138
Answer(s): 138
