Answer:
the number of nickels is \(5\)
Step-by-step explanation:
Let
x------> the number of nickels
y------> the number of dimes
we know that
\(1\ nickel=\$0.05\)
\(1\ dime=\$0.10\)
so
\(0.05x+0.10y=3.75\) -------> multiply by \(100\) both sides
\(5x+10y=375\) -------> equation A
\(y=7x\) -------> equation B
Substitute equation B in equation A and solve for x
\(5x+10[7x]=375\)
\(5x+70x=375\)
\(x=375/75\)
\(x=5\)
Find the value of y
\(y=7(5)=35\)
