Question 1187597

Help
1/4 of Tommy’s stickers is equal to 2/3 of Charlie’s stickers. Tommy
has 25 more stickers than Charlie. How many stickers do they have
altogether?
<pre>Let number Tommy and Charlie have, be T, and C, respectively
Then we get: {{{matrix(2,3, (1/4)T, "=", (2/3)C, T/4, "=", 2C/3)}}}
                 8C = 3T ------ Cross-multiplying ----- eq (i)
            Also, T = C + 25 ----- eq (ii)
                 8C = 3(C + 25) ----- Substituting C + 25  for T in eq (i)
            8C - 3C = 75
                 5C = 75
Number Charlie has, or {{{matrix(1,5, C, "=", 75/5, "=", 15)}}}
                        
                        T = 15 + 25 ------ Substituting 15 for C in eq (ii)
  Number Tommy has, or {{{matrix(1,3, T, "=", 40)}}}
Amount both have: <font color = red><font size = 5><b>15 + 40 = 55</font></font></b></pre>