Problema Solution
Louisa and Kayla had $300. After Luisa had spent $112 and Kayla spent $40, 2/5 of Luisa's remainder is equal to 5/6 of Kayla's remainder. How much did Luisa have at first?
Answer provided by our tutors
Let
x = the amount that Luisa had at first, x>=0
y = the amount that Kayla had at first, y>=0
Together they had $300:
x + y = 300
y = 300 - x
After Luisa spent $112 she has: x - 112 left
After Kayla spent $40 she has: y - 40 left
(2/5) of (x - 112) equals (5/6) of (y - 40) or:
(2/5)(x - 112) = (5/6)(y - 40)
Plug y = 300 - x into (2/5)(x - 112) = (5/6)(y - 40):
(2/5)(x - 112) = (5/6)((300 - x) - 40)
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click here to see the equation solved for x
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x = $212
At the beginning, Luisa had $212.