Answer:
The number of nickel's coin is 20 and the number of quarter's coin is 24
Step-by-step explanation:
Let
x ----> the number of nickel's coin
y ----> the number of quarter's coin
Remember that
[tex]1\ nickel=\$0.05[/tex]
[tex]1\ quarter=\$0.25[/tex]
so
we have
[tex]x+y=44[/tex]
[tex]x=44-y[/tex] ----> equation A
[tex]0.05x+0.25y=7[/tex] ----> equation B
Solve the system by substitution
substitute equation A in equation B
[tex]0.05(44-y)+0.25y=7[/tex]
solve for y
[tex]2.2-0.05y+0.25y=7[/tex]
[tex]0.20y=7-2.2[/tex]
[tex]0.20y=4.8[/tex]
[tex]y=24[/tex]
Find the value of x
[tex]x=44-24=20[/tex]
therefore
The number of nickel's coin is 20 and the number of quarter's coin is 24
