Brad have 19 quarters and 27 nickels.
Step-by-step explanation:
Given,
Total worth of nickels and quarters = $6.10 = 6.10*100 = 610 cents
One quarter = 25 cents
One nickel = 5 cents
Let,
x represent the number of quarters.
y represent the number of nickels.
According to given statement;
25x+5y=610 Eqn 1
y = x+8 Eqn 2
Putting value of y from Eqn 1 in Eqn 2
[tex]25x+5(x+8)=610\\25x+5x+40=610\\30x=610-40\\30x=570[/tex]
Dividing both sides by 30
[tex]\frac{30x}{30}=\frac{570}{30}\\x=19[/tex]
Putting x=19 in Eqn 2
[tex]y=19+8\\y=27[/tex]
Brad have 19 quarters and 27 nickels.
Keywords: linear equation, subtraction
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