At the end of August, Roshel had twice as many 20-cent coins as 50-cent coins in her piggy bank. She took out 75 20-cent coins and exchanged it for 50-cent coins of the same value. In September, she saved another 65 20-cent coins and some 50-cent coins. She then had four times as many 50-cent coins in the end. She had 350 coins in the end. How many 50-cent coins did she save in September?
|
20-cent |
50-cent |
Total |
Before |
2 u |
1 u |
|
Change 1 |
- 75 |
+ 30 |
|
Change 2 |
+ 65 |
+ ? |
|
After |
1 p |
4 p |
350 |
Total number of coins in the end
= 1 p + 4 p
= 5 p
5 p = 350
1 p = 350 ÷ 5 = 70
Number of 20-cent in the end
= 1 p
= 70
Number of 20-cent at first
= 70 - 65 + 75
= 80
2 u = 80
1 u = 80 ÷ 2 = 40
Number of 50-cent coins in the end
= 4 p
= 4 x 70
= 280
Total value of 75 20-cent coins
= 75 x 20
= 1500¢
Number of 50-cent coins that was exchanged from 75 20-cent coins
= 1500 ÷ 50
= 30
Number of 50-cent coins that Roshel saved in September
= 4 p - 1 u - 30
= 280 - 40 - 30
= 210
Answer(s): 210