SOLUTION: 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?

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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?
Found 2 solutions by Theo, MathTherapy:
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
1/4 * t = 2/3 * c
t = c + 25

replace t in the first eqution with c + 25 from the second equation to get:

1/4 * (c + 25) = 2/3 * c

multiply both sides of the equation by 12 to get:

3 * (c + 25) = 8 * c

simplify to get:

3 * c + 75 = 8 * c

subtract 3 * c from both sides of the equation to get:

75 = 5 * c

solve for c to get:

c = 75 / 5 = 15.

since t has 25 more stickers than c, then t = 40.

do the problem again replacing t with 40 and c with 15.

1/4 * t = 2/3 * c becomes 1/4 * 40 = 2/3 * 15 which becomes 10 = 10.
this is good.

t = c + 25 becomes 40 = 15 + 25 which becomes 40 = 40.
this is also good.

your solution is that they have 40 + 15 = 55 stickers together.

Answer by MathTherapy(10552) (Show Source):
You can put this solution on YOUR website!

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?

Let number Tommy and Charlie have, be T, and C, respectively Then we get: 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 T = 15 + 25 ------ Substituting 15 for C in eq (ii) Number Tommy has, or Amount both have: 15 + 40 = 55