<PRE><B>Question 1138532</B>
x = the number of cones selling for 7 cents each.
y = the number of cones selling for a cents each. 


one afternoon the smaller cones outsold the larger cones two to one for a total sale of 6.21 pesos.


.07 * x + a * y = 6.21


since y = 2x, the formula becomes:



.07 * x + a * 2x = 6.21.


factor out the x to get x * (.07 + 2a) = 6.21.


solve for x to get x = 6.21 / (.07 + 2a).


your answer depends on the value of a.


for example:


if the value of a = .01, then the formula becomes x = 6.21 / (.07 + 2 * .01) which becomes x= 6.21 / .09.


this results in x = 69.


since y = 2x, then y = 138.


.07 * x + .01 * y becomes .07 * 69 + .01 * 138 which is equal to 6.21.


if the value of a is anything else, like .05, then x = 6.21 / (x + 2a) becomes x = 6.21 / (x + .10) which becomes x = 6.21 / .17 which then becomes x = 36.52941176.


this makes y = 73.05882353.


.07x + .05y becomes .07 * 36.52941176 + .05 * 73.05882353 = 6.21.


thye formula works for any value of a, but you do need the value of a in order to find the value of x which you then double to find the value of y.








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