Art of Problem Solving

1957 AHSME Problems/Problem 8: Difference between revisions

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==Problem==
The numbers <math>x,\,y,\,z</math> are proportional to <math>2,\,3,\,5</math>. The sum of <math>x, y</math>, and <math>z</math> is <math>100</math>. The number y is given by the equation <math>y = ax - 10</math>. Then a is:
 
<math>\textbf{(A)}\ 2 \qquad \textbf{(B)}\ \frac{3}{2}\qquad \textbf{(C)}\ 3\qquad \textbf{(D)}\ \frac{5}{2}\qquad \textbf{(E)}\ 4    </math>
 
==Solution==
==Solution==
==See Also==
==See Also==
{{AHSME box|year=1957|num-b=7|num-a=9}}
{{AHSME box|year=1957|num-b=7|num-a=9}}
{{MAA Notice}}
{{MAA Notice}}

Revision as of 11:23, 12 October 2020

The numbers $x,\,y,\,z$ are proportional to $2,\,3,\,5$. The sum of $x, y$, and $z$ is $100$. The number y is given by the equation $y = ax - 10$. Then a is:

$\textbf{(A)}\ 2 \qquad \textbf{(B)}\ \frac{3}{2}\qquad \textbf{(C)}\ 3\qquad \textbf{(D)}\ \frac{5}{2}\qquad \textbf{(E)}\ 4$

Solution

See Also

1957 AHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 7
Followed by
Problem 9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
All AHSME Problems and Solutions

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