There were 4 more 5-cent coins than 50-cent coins in a handbag. Given that the value of all the 50-cent coins were $7.45 more than the value of all the 5-cent coins, how many 5-cent coins were there in the handbag?
| |
50-cent |
5-cent |
Difference |
| Number |
1 u |
1 u + 4 |
|
| Value |
0.50 |
0.05 |
|
| Total value |
0.5 u |
0.05 u + 0.2 |
0.45 u - 0.2 |
Total value of 50-cent coins
= 1 u x 0.50
= 0.5 u
Total value of 5-cent coins
= 0.05 x (1 u + 4)
= 0.05 u + 0.20
Total value of the 50-cent coins that is more than the total value of the 5-cent coins
= 0.5 u - (0.05 u + 0.2)
= 0.5 u - 0.05 u - 0.2
= 0.45 u - 0.2
0.45 u - 0.2 = 7.45
0.45 u = 7.45 + 0.2
0.45 u = 7.65
1 u = 7.65 ÷ 0.45 = 17
Number of 5-cent coins
= 1 u + 4
= 17 + 4
= 21
Answer(s): 21
