A dime = 0.10
A nickel = 0.05
N + D = 28 coins
Rewrite this as N = 28 -D
0.10D + 0.05N = 1.95
Replace N withe the rewritten equation above:
0.10D + 0.05(28-D) = 1.95
Use the Distributive Property:
0.10D + 1.4 - 0.05D = 1.94
Add the like terms:
0.05D + 1.4 = 1.95
Subtract 1.4 from both sides:
0.05D = 0.55
Divide both sides by 0.05
D = 0.55 / 0.05
D = 11
Nickels = 28 - 11 = 17
There are 11 dimes and 17 nickels.
June has 17 nickels and 11 dimes
Let the number of dime coins = d
Let the number of nickel coins = n
The total number of coins = 28
n + d = 28...........................(1)
0.1d + 0.05n = 1.95..............(2)
Make n the subject of the formula in equation (1)
n = 28 - d.......(3)
Substitute equation (3) into equation (2)
0.1d + 0.05(28 - d) = 1.95
0.1d + 1.4 - 0.05d = 1.95
0.05d = 1.95 - 1.4
0.05d = 0.55
d = 0.55/0.05
d = 11
Substitute d = 11 into equation (3)
n = 28 - 11
n = 17
June has 17 nickels and 11 dimes
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