Answer:
x = 120, y = 130
Explanation:
1. If x = # single scoop cones costing $2 and y = # double scoop cones costing $2.50 we can write
eq A = x + y = 250
and another equation
eq B = 2x + 2.5y = 565
2. Now that we have 2 equations we can figure out both our variables by using simultaneous equations
first multiply eq A by 2 which would equal
2(x+y =250) = 2x + 2y = 500
now since the co-efficient of x on eq A is the same as eq B we can subtract them to find the value of y
eq B - eq A =
2x +2.5y = 565
- 2x + 2y = 500
0.5y = 65 multiplying by 2 gives us
y = 130 ( the number of double scoop cones)
now if we insert this into eq A we get
x + 130 = 250
x = 120 (The number of single scoop cones)
Hope this helps :]