Find the amount – Problem Solving
Maya, Meena, Mini and Mukta bought a pizza for
60. Maya paid one-half of the sum of amounts paid
by the other girls. Meena paid one-third of the sum of
amounts paid by the other girls. Mini paid one-fourth
of the sum of amounts paid by the other girls. How
much did Mukta pay?
Step-by-step explanation:
I think 20 is the correct answer
Answer:
imagine Let A, B, C, D pays k, x, y, z Rupees respectively.
We have, k + x + y + z = 60
A agrees to pay half of the sum of money paid by the other three.
So, k = 1/2 ( x + y + z)
2k = x + y + z
We can solve for k,
k + x + y + z = 60
k + 2k = 60
3k = 60
k = 20.
B agrees to pay one third of the sum of money paid by other three.
x = 1/3 ( k + y + z)
3x = k + y + z
We can solve for x,
k + x + y + z = 60
x + ( k + y + z) = 60
x + 3x = 60
4x = 60
x = 15
C agrees to pay one fourth of the sum of money paid by the other three,
y = 1/4 ( k + x + z)
4y = k + x + z
We can solve for y,
k + x + y + z = 60
y + ( k + x + z) = 60
5y = 60
y = 12
From the equation,
x + y + z + k = 60
20 + 15 + 12 + z = 60
47 + z = 60
z = 13
Therefore, Person D pays 13 Rupees.
Mukta pays 13 rupess
Step-by-step explanation:
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