A fruit shake costs R 2,00 more than a chocolate milk shake. If 3 fruit shakes and 5 chocolate milk shakes cost R 78,00, determine the individual prices. Choose one
A) x=6,y=9	B) x=4,y=4	C) x=7,y=5	D) x=5,y=11	E) x=9,y=11
Let the price of a chocolate milkshake be x and let the price of a fruitshake be y.   Set up a system of equations   y=x+2.........(1)   3y+5x=78............(2)   Substitute equation (1) into equation (2)   3(x+2)+5x=78   Rearrange and solve for x   3x+6+5x=78   8x=72   x=9   Substitute the value of x back into equation (1) and solve for y   y=x+2   =9+2= 
<gadget id="calculator">9+2</gadget>
<output>11</output>
11   One chocolate milkshake costs R 9,00 and one fruitshake costs R 11,00.   Answer is x=9,y=11.
<result>E</result>
A fruit shake costs R 2,00 more than a chocolate milk shake. If 3 fruit shakes and 5 chocolate milk shakes cost R 78,00, determine the individual prices.