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Bank account A contains exactly x dollars, an amount that w
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15 Sep 2017, 07:32
15 Sep 2017, 07:32
Expert Reply
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Question Stats:
80% (01:51) correct
19% (02:17) wrong based on 47 sessions
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Bank account A contains exactly x dollars, an amount that will decrease by 10% each month for the next two months. Bank account B contains exactly y dollars, an amount that will increase by 20% each month for the next two months. If A and B contain the same amount at the end of two months, what is the ratio of \(\sqrt{x}\) to \(\sqrt{y}\) ?
A. 4:3
B. 3:2
C. 16:9
D. 2:1
E. 9:4
Re: Bank account A contains exactly x dollars, an amount that w
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06 Dec 2017, 16:44
06 Dec 2017, 16:44
1
Hi,
the question translates into the following equation:
x(0.9)^2 = y(1.2)^2
0.81x = 1.44y
Sq Rootx= Sq Root y
0.09x= 0.12y
0.12/0.09 = 4/3 =>A
the question translates into the following equation:
x(0.9)^2 = y(1.2)^2
0.81x = 1.44y
Sq Rootx= Sq Root y
0.09x= 0.12y
0.12/0.09 = 4/3 =>A
Bank account A contains exactly x dollars, an amount that w
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16 May 2021, 07:17
16 May 2021, 07:17
1
Solution:
Bank account A: x-0.1% of x= 0.9x-0.1% of x= 0.81x
Bank account B: y+0.2% of y=1.2y + 0.2%of y= 1.44y
Thus, 0.81x=1.44y
\(\frac{x}{y}\)=\(\frac{1.44}{0.81}\)
\(\frac{\sqrt{x}}{\sqrt{y}}\)=\(\frac{12}{9}\)=\(\frac{4}{3}
\)
IMO A
Hope this helps!
Bank account A: x-0.1% of x= 0.9x-0.1% of x= 0.81x
Bank account B: y+0.2% of y=1.2y + 0.2%of y= 1.44y
Thus, 0.81x=1.44y
\(\frac{x}{y}\)=\(\frac{1.44}{0.81}\)
\(\frac{\sqrt{x}}{\sqrt{y}}\)=\(\frac{12}{9}\)=\(\frac{4}{3}
\)
IMO A
Hope this helps!
