There were 5 more 5-cent coins than 50-cent coins in a jar. Given that the value of all the 50-cent coins were $7.85 more than the value of all the 5-cent coins, how many 5-cent coins were there in the jar?
|
50-cent |
5-cent |
Difference |
Number |
1 u |
1 u + 5 |
|
Value |
0.50 |
0.05 |
|
Total value |
0.5 u |
0.05 u + 0.25 |
0.45 u - 0.25 |
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 + 5)
= 0.05 u + 0.25
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 + 0.25)
= 0.5 u - 0.05 u - 0.25
= 0.45 u - 0.25
0.45 u - 0.25 = 7.85
0.45 u = 7.85 + 0.25
0.45 u = 8.10
1 u = 8.10 ÷ 0.45 = 18
Number of 5-cent coins
= 1 u + 5
= 18 + 5
= 23
Answer(s): 23