If one redskin and 4 golden roughs cost $1.65, whereas 2 redskins and 3 golden roughs cost $1.55, how much does each type or sweet cost?

Redskins cost $0.25 and golden roughs cost $0.35.

Step-by-step explanation:

Let r be the cost of a redskin and g the cost of golden roughs. So we have the system of equations:

r + 4g = 1.65

2r + 3g = 1.55

Multiply the first equation by -2:

-2r - 8g = -3.30

Adding this to the second equation:

-5g = -1.75

g = 0.35.

Now substitute this into the first equation:

r + 4*0.35 = 1.65

r  = 1.65 - 1.40

r = 0.25.

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.