DIY Challenge 2: What can we pay?
A state decided to have only 2 types of coins. A ₹3 coin and a ₹5 coin.
They thought it was a good idea because people can pay many amounts with that. For example, you can pay:
- ₹8 = 1 coin of ₹3 and 1 coin of ₹5
- ₹12 = 4 coins of ₹3
- ₹20 = 4 coins of ₹5
- Can you find a way to pay ₹57?
- Are there any amounts which cannot be paid? How many such amounts are there?
What students worked out7
Student 3
5×0=0
3×19=57
——-
total 575×3=15
3×14=42
——–
total 575×6=30
3×9=27
——–
total 575×9=45
3×4=12
——–
total 57Student 3
only 1`,2,4 and 7 can not be transacted with 3 and 5 rupee coins
Student 2
9 coins of 5
4 coins of 3
________________
19 coins of 3
________________
6 coins of 5
9 coins of 3
_________________
1/2/4/7/11/17 I think there are more will find and tell later.Student 7
we could have 9 coins of ₹5 = ₹45
we could have 4 coins of ₹3 =+₹12
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total would be ₹57
======Student 17
6 of 5 and 9 of 3
Student 1
19 coins of 3= 57 Rupees
Student 4
19 coins of 3
3 coins of 5 and 14 coins of 3