Devin has 15 nickel coins and 5 quarter coins.
Step-by-step explanation:
Total worth = 200 cents
1 nickel = 5 cents
1 quarter = 25 cents
Let,
Nickels = x
Quarters = y
According to given statement;
5x+25y=200 Eqn 1
x = 3y Eqn 2
Putting x=3y in Eqn 1
[tex]5(3y)+25y=200\\15y+25y=200\\40y=200[/tex]
Dividing both sides by 40
[tex]\frac{40y}{40}=\frac{200}{40}\\y=5[/tex]
Putting y=5 in Eqn 2
[tex]x=3(5)\\x=15[/tex]
Devin has 15 nickel coins and 5 quarter coins.
Keywords: linear equation, substitution method
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