Question 1112955

Hi
1/4 of kens stampss is equal to 2/9 leroys stamps. Leroy has 3 more stamps than ken. How many stamps does leroy have.

thanks
<pre>Let number of stamps Ken and Leroy have, be K and L, respectively
Then we get: {{{matrix(1,3, (1/4) * K, "=", (2/9) * L)}}} ====> {{{matrix(1,3, K/4, "=", 2L/9)}}} =======> {{{matrix(1,3, 9K, "=", 8L)}}} =======> {{{matrix(1,3, K, "=", 8L/9)}}} ----- eq (i)
Also, L = K + 3 ------- eq (ii)'
      {{{matrix(1,3, L, "=", 8L/9 + 3)}}} ----- Substituting {{{8L/9}}} for K in eq (ii)
      9L = 8L + 27 ------ Multiplying by LCD, 9
      9L - 8L = 27
      L, or number Leroy has = {{{highlight_green(27)}}}