Penelope had an equal number of oranges and tomatoes at first. She sold one-quarter of the tomatoes and bought another 100 oranges. In the end, she had thrice as many oranges as tomatoes. Find the number of tomatoes she had at first.
| |
Tomatoes |
Oranges |
| Before |
4 u |
9 u - 100 |
| Change |
- 1 u |
+ 100 |
| After |
3 u |
9 u |
The number of oranges and tomatoes at first is the same.
9 u - 100 = 4 u
9 u - 4 u = 100
5 u = 100
1 u = 100 ÷ 5 = 20
Number of tomatoes that she had at first
= 4 u
= 4 x 20
= 80
Answer(s): 80
