Betty had the same number of blue, brown and green marbles at first. After giving some blue and brown marbles and 74 green marbles away, Betty had 246 marbles left. There were 5 times as many blue marbles as brown marbles left. The number of green marbles left was 29 fewer than the number of blue marbles left. How many green marbles did she have at first?
| |
Brown |
Blue |
Green |
Total |
| Before |
5 u + 45 |
5 u + 45 |
5 u + 45 |
|
| Change |
- 4 u - 45 |
- 45 |
- 74 |
|
| After |
1 u |
5 u |
5 u - 29 |
246 |
Betty had the same number of blue, brown and green marbles at first.
Total number of marbles in the end
= 1 u + 5 u + 5 u - 29
= 11 u - 29
11 u - 29 = 246
11 u = 246 + 29
11 u = 275
1 u = 275 ÷ 11 = 25
Number of green marbles that Betty had at first
= 5 u - 29 + 74
= 5 u + 45
= 5 x 25 + 45
= 170
Answer(s): 170
