There were a total of thirty-seven 20-cent coins and 50-cent coins in a bag. Given that the total amount of money in the bag was $15.50. How many 20-cent coins were there in the bag?
Number of
50-cent coins |
Value of
50-cent coins |
Number of
20-cent coins |
Value of
20-cent coins |
Total
value |
37
|
37 x 50
= 1850¢ |
0
|
0
|
1850¢
|
36
|
36 x 50
= 1800¢ |
1
|
1 x 20
= 20¢ |
1820¢
|
27
|
27 x 50
= 1350¢ |
10
|
10 x 20
= 200¢ |
1550¢ |
$1 = 100¢
$15.50 = 1550¢
Amount in the bag if all are 50-cent coins
= 37 x 50
= 1850¢
Big difference between the value of 50-cent coins and 20-cent coins
= 1850 - 1550
= 300¢
Small difference between the value of one 50-cent coin and one 20-cent coin
= 50 - 20
= 30¢
Number of 20-cent coins
= 300 ÷ 30
= 10
Answer(s): 10
