Difference between revisions of "2020 AMC 8 Problems/Problem 15"
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==Solution 1== | ==Solution 1== | ||
We set up the following equation based on the given information: <cmath>\frac{15x}{100}=\frac{20y}{100}</cmath> Solving for <math>x</math> yields <cmath>\frac{3x}{20}=\frac{y}{5}</cmath> <cmath>20y=15x</cmath> <cmath>x=1.\overline{3}y ==> D</cmath> | We set up the following equation based on the given information: <cmath>\frac{15x}{100}=\frac{20y}{100}</cmath> Solving for <math>x</math> yields <cmath>\frac{3x}{20}=\frac{y}{5}</cmath> <cmath>20y=15x</cmath> <cmath>x=1.\overline{3}y ==> D</cmath> | ||
| + | |||
| + | ==See also== | ||
| + | {{AMC8 box|year=2020|num-b=14|num-a=16}} | ||
| + | {{MAA Notice}} | ||
Revision as of 00:21, 18 November 2020
Problem 15
Suppose 
of 
equals 
of 
What percentage of is 
Solution 1
We set up the following equation based on the given information: ![\[\frac{15x}{100}=\frac{20y}{100}\]](http://latex.artofproblemsolving.com/9/5/e/95e8e3e1da586ac3f2d9beeffdf357eda7d2c3a5.png)
Solving for yields ![\[\frac{3x}{20}=\frac{y}{5}\]](http://latex.artofproblemsolving.com/3/e/9/3e96257e7b6b6b4d0740bab758837db251f11e02.png)
![\[20y=15x\]](http://latex.artofproblemsolving.com/6/a/8/6a87dcade22ef4faf1e01158776e1602be42a283.png)
![\[x=1.\overline{3}y ==> D\]](http://latex.artofproblemsolving.com/7/7/8/778999f32ee308429ad5600b45c5329f0f34df14.png)
See also
| 2020 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 14 |
Followed by Problem 16 | |
| 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 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
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