There were a total of forty-five 10-cent coins and 50-cent coins in a bag. Given that the total amount of money in the bag was $15.70. How many 10-cent coins were there in the bag?
Number of
50-cent coins |
Value of
50-cent coins |
Number of
10-cent coins |
Value of
10-cent coins |
Total
value |
45
|
45 x 50
= 2250¢ |
0
|
0
|
2250¢
|
44
|
44 x 50
= 2200¢ |
1
|
1 x 10
= 10¢ |
2210¢
|
28
|
28 x 50
= 1400¢ |
17
|
17 x 10
= 170¢ |
1570¢ |
$1 = 100¢
$15.70 = 1570¢
Amount in the bag if all are 50-cent coins
= 45 x 50
= 2250¢
Big difference between the value of 50-cent coins and 10-cent coins
= 2250 - 1570
= 680¢
Small difference between the value of one 50-cent coin and one 10-cent coin
= 50 - 10
= 40¢
Number of 10-cent coins
= 680 ÷ 40
= 17
Answer(s): 17
