Chase and sara went to the candy store. chase bought 5 pieces of fudge and 3 pieces of gum for 5.70. sara bought 2 pieces of fudge and 10 pieces of gum for 3.60. determne the cost of 1 piece of fudge and 1 piece of gum

Let, the cost of 1 piece of fudge = x
Cost of a gum = y

System of equations: 5x + 3y = 5.70
2x + 10y = 3.60

Multiply 1st equation by 2, and second by 5, 
New equations: 10x + 6y = 11.40
10x + 50y = 18

Now, subtract 1st from 2nd, 
44y = 6.60
y = 6.60 / 44
y = 0.15

Substitute it in second equation, 
2x + 10(0.15) = 3.60
2x = 3.60 - 1.5
x = 2.10 / 2
x = 1.05

In short, Cost of a Fudge = $1.05 & Cost of a gum = $0.15

Hope this helps!