Emily had the same number of red, black and brown marbles at first. After giving some red and black marbles and 73 brown marbles away, Emily had 196 marbles left. There were 5 times as many red marbles as black marbles left. The number of brown marbles left was 13 fewer than the number of red marbles left. How many brown marbles did she have at first?
| |
Black |
Red |
Brown |
Total |
| Before |
5 u + 60 |
5 u + 60 |
5 u + 60 |
|
| Change |
- 4 u - 60 |
- 60 |
- 73 |
|
| After |
1 u |
5 u |
5 u - 13 |
196 |
Emily had the same number of red, black and brown marbles at first.
Total number of marbles in the end
= 1 u + 5 u + 5 u - 13
= 11 u - 13
11 u - 13 = 196
11 u = 196 + 13
11 u = 209
1 u = 209 ÷ 11 = 19
Number of brown marbles that Emily had at first
= 5 u - 13 + 73
= 5 u + 60
= 5 x 19 + 60
= 155
Answer(s): 155
