Math homework! word problem help!?

Question

Anne Marie has 52 coins in dimes and quarters, which are worth $6.25. How many of each kind does she have?

Answer 1

X = number of quarters

52-X = number of dimes.

.25X+.10(52-x)=6.25

.15X+5.2=6.25

.15x=1.05

x= 7

7 Quarters, 45 dimes

7*.25+45*.10 = 6.25

Answer 2

x + y = 52

.10x + .25y = 6.25

take 2nd equation and multiply it by 10 and you get

x + 2.5y = 62.5

now you have a system of equations in which you can subtract

    x   +    y     =    52

- ( x   + 2.5y   =     62.5)

_____________________

           -1.5 y  =  -10.5

                 y =      7

which means x  = 45

          45 dimes and 7 quarters

Answer 3

Why do you need help on all of these problems? They are simple...

0.25x + 0.1y = 6.25

(x + y = 52)-.1

-0.1x -0.1y = -5.2

0.15x = 1.05

x = 7 quarters

y = 45 dimes

Answer 4

7 quarters and 45 dimes