When 70% of a number x is added to another number y, the sum becomes 165% of the value of y. When 60% of the…
When 70% of a number x is added to another number y, the sum becomes 165% of the value of y. When 60% of the number x is added to another number z, then the sum becomes 165% of the value of z. Which one of the following is correct?
z < x < y
x < y < z
y < x < z
z < y < x
Solution
From $0.7x + y = 1.65y$: $0.7x = 0.65y$, so $x/y = 0.65/0.70 < 1$, hence x < y. From $0.6x + z = 1.65z$: $0.6x = 0.65z$, so $x/z = 0.65/0.60 > 1$, hence x > z. Combining: z < x < y.