SOLUTION: 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

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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

Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
%281%2F4%29%2AK = %282%2F9%29%2AL         (1)

L = K + 3             (2)


Multiply (1) by 36 (both side) to get


9K = 8L               (3)


and then substitute  (2)  into (3). You will get


9K = 8*(K+3)  ====>  9K = 8K + 24  ====>  K = 24.


Answer.  K has 24 stamps;  L has 3 more, i.e. 27.


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

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
Let number of stamps Ken and Leroy have, be K and L, respectively
Then we get: matrix%281%2C3%2C+%281%2F4%29+%2A+K%2C+%22=%22%2C+%282%2F9%29+%2A+L%29 ====> matrix%281%2C3%2C+K%2F4%2C+%22=%22%2C+2L%2F9%29 =======> matrix%281%2C3%2C+9K%2C+%22=%22%2C+8L%29 =======> matrix%281%2C3%2C+K%2C+%22=%22%2C+8L%2F9%29 ----- eq (i)
Also, L = K + 3 ------- eq (ii)'
matrix%281%2C3%2C+L%2C+%22=%22%2C+8L%2F9+%2B+3%29 ----- Substituting 8L%2F9 for K in eq (ii)
9L = 8L + 27 ------ Multiplying by LCD, 9
9L - 8L = 27
L, or number Leroy has = highlight_green%2827%29