At the end of February, Erika had twice as many 10-cent coins as 20-cent coins in her piggy bank. She took out 50 10-cent coins and exchanged it for 20-cent coins of the same value. In March, she saved another 36 10-cent coins and some 20-cent coins. She then had twice as many 20-cent coins in the end. She had 210 coins in the end. How many 20-cent coins did she save in March?
|
10-cent |
20-cent |
Total |
Before |
2 u |
1 u |
|
Change 1 |
- 50 |
+ 25 |
|
Change 2 |
+ 36 |
+ ? |
|
After |
1 p |
2 p |
210 |
Total number of coins in the end
= 1 p + 2 p
= 3 p
3 p = 210
1 p = 210 ÷ 3 = 70
Number of 10-cent in the end
= 1 p
= 70
Number of 10-cent at first
= 70 - 36 + 50
= 84
2 u = 84
1 u = 84 ÷ 2 = 42
Number of 20-cent coins in the end
= 2 p
= 2 x 70
= 140
Total value of 50 10-cent coins
= 50 x 10
= 500¢
Number of 20-cent coins that was exchanged from 50 10-cent coins
= 500 ÷ 20
= 25
Number of 20-cent coins that Erika saved in March
= 2 p - 1 u - 25
= 140 - 42 - 25
= 73
Answer(s): 73