Answer: Required system
x+y= 30
0.25x+0.05y=5.10
Jude has 18 quarters and 12 nickels.
Step-by-step explanation:
Let x= Number of quarters
y= Number of nickels
As per given,
x+y= 30 (i)
0.25x+0.05y=5.10 (ii) [1 quarter = $0.25 , 1 nickel = $0.05]
Multiply 0.25 on both sides of equation (i)
0.25x+0.25y= 7.5 (iii)
Eliminate (ii) from (iii) , we get
0.20y=2.4
⇒ y = 12 [divide both sides by 0.20]
Put value of y in (i\), we get
x+12=30
⇒ x= 30-12= 18
Hence, Jude has 18 quarters and 12 nickels.
