luke has $1.40 in quarters and nickels. he has 2 more quarters than nickels. how many coins of each type does he have?
2 answers:
Answer:
3 nickels and 5 quarters
Step-by-step explanation:
Let n = number of nickels
q = number of quarters
q = n+2
.25q + .05n = 1.40
Using the first equation and replacing q in the second equation
.25( n+2) + .05n = 1.40
Distribute
.25n+.50 +.05n = 1.40
Combine like terms
.30n +.5 = 1.40
Subtract .5 from each side
.3n +.5-.5 = 1.40-.4
.3n = .9
Divide by .3
.3n/.3 = .9/.3
n = 3
q = n+2
q=5
Step-by-step explanation:
Let the
Nickel coin = x
Quarter coin = y
y = n + 2
0.25y + 0.05x = 1.4
0.25(x + 2) + 0.05x = 1.4
0.25x + 0.5 + 0.05x = 1.4
0.25x + 0.05x = 1.4 - 0.5
0.30x = 0.9
x = 0.9/0.3
x = 3
y = 3 + 2 = 5
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