Difference between revisions of "1992 AHSME Problems/Problem 7"
(Created page with "== Problem == The ratio of <math>w</math> to <math>x</math> is <math>4:3</math>, of <math>y</math> to <math>z</math> is <math>3:2</math> and of <math>z</math> to <math>x</math> ...") |
m (Small correction) |
||
(3 intermediate revisions by one other user not shown) | |||
Line 11: | Line 11: | ||
== Solution == | == Solution == | ||
<math>\fbox{B}</math> | <math>\fbox{B}</math> | ||
+ | |||
+ | Converting from ratios to fractions | ||
+ | |||
+ | <math>\frac{w}{x}=\frac{4}{3}</math>, | ||
+ | <math>\frac{y}{z}=\frac{3}{2}</math>, | ||
+ | <math>\frac{z}{x}=\frac{1}{6}</math> | ||
+ | |||
+ | |||
+ | <math>\frac{y}{z} \cdot \frac{z}{x} = \frac{3}{2} \cdot \frac{1}{6}</math> | ||
+ | |||
+ | <math>\frac{y}{x} = \frac{1}{4}</math> | ||
+ | |||
+ | <math>\frac{(\frac{w}{x})}{(\frac{y}{x})}=\frac{\frac{4}{3}}{\frac{1}{4}}</math> | ||
+ | |||
+ | <math>\frac{w}{y} = \frac{16}{3}</math> | ||
+ | |||
+ | <math>w</math> to <math>y</math> is <math>16:3</math> | ||
== See also == | == See also == |
Latest revision as of 02:24, 20 February 2018
Problem
The ratio of to
is
, of
to
is
and of
to
is
. What is the ratio of
to
?
Solution
Converting from ratios to fractions
,
,
to
is
See also
1992 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 6 |
Followed by Problem 8 | |
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 |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.