Tim has a total of 20 twenty-cent and ten-cent coins. The total value of the coins is $3. If he spends all the twenty-cent coins on a notebook, how much does the notebook cost?
Number of twenty-cent coins |
Value of twenty-cent coins |
Number of ten-cent coins |
Value of ten-cent coins |
Total value |
20 |
20 x 20 = 400¢ |
0 |
0 |
400¢ |
19 |
19 x 20 = 380¢ |
1 |
1 x 10 = 10¢ |
390¢ |
10 |
10 x 20 = 200¢ |
10 |
10 x 10 = 100¢ |
300¢ |
$1 = 100¢
$3 = 300¢
Total value if all the coins are twenty-cent coins
= 20 x 20
= 400¢
Big difference between the value of twenty-cent coins and ten-cent coins
= 400 - 300
= 100¢
Small difference between the value of one twenty-cent coin and one ten-cent coin
= 20 - 10
= 10¢
Number of ten-cent coins
= 100 ÷ 10
= 10
Number of twenty-cent coins
= 20 - 10
= 10
Cost of the notebook
= 10 x 20
= 200¢
= $2
Answer(s): $2