Question 1144189
if 1/2 of A's cookies is equal to 2/3 of B's cookies what fraction of the total cookies is A's cookies? how can we solve this.
<pre>Let number of cookies A and B have, be A and B, respectively
Then we get: {{{matrix(1,15, (1/2)A, "=", (2/3)B, "=====>", A/2, "=", 2B/3, "=====>", 3A, "=", 4B, "======>", A, "=", 4B/3)}}}
Total cookies: {{{matrix(1,7, A + B, "=", 4B/3 + B, "=", (4B + 3B)/3, "=", 7B/3)}}} 
Fraction of A's cookies to TOTAL cookies: {{{highlight_green(matrix(1,7, (4B/3)/(7B/3), "=======>", (4B/3) * (3/(7B)), "=", (4cross(B)/cross(3)) * (cross(3)/(7cross(B))), "=", highlight(4/7)))}}}