Question 153324
d=number of dimes
n=number of nickels
coefficient= value of the coin


value of dime(number of dimes)+value of nickel(number of nickels)=total value
10(d)+5(n)=565


10(2d)+5(n+8)=1045------------If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45.


Distribute
20d+5n+40=1045


Subtract 40 from both sides
20d+5n=1005
and
10d+5n=565 both have 5n, so subtract them from each other

 
10d=440


Divide both sides by 10
d=44


Number of dimes=44