Difference between revisions of "2017 AMC 10A Problems/Problem 2"
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<math>\$3</math> boxes give us the most popsicles/dollar, so we want to buy as many of those as possible. After buying <math>2</math>, we have <math>\$2</math> left. We cannot buy a third <math>\$3</math> box, so we opt for the <math>\$2</math> box instead (since it has a higher popsicles/dollar ratio than the <math>\$1</math> pack). We're now out of money. We bought <math>5+5+3=13</math> popsicles, so the answer is <math>\boxed{\textbf{(D) }13}</math>. | <math>\$3</math> boxes give us the most popsicles/dollar, so we want to buy as many of those as possible. After buying <math>2</math>, we have <math>\$2</math> left. We cannot buy a third <math>\$3</math> box, so we opt for the <math>\$2</math> box instead (since it has a higher popsicles/dollar ratio than the <math>\$1</math> pack). We're now out of money. We bought <math>5+5+3=13</math> popsicles, so the answer is <math>\boxed{\textbf{(D) }13}</math>. | ||
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+ | ==Video Solution== | ||
+ | https://youtu.be/rxeqBnHDQvI | ||
==See Also== | ==See Also== | ||
{{AMC10 box|year=2017|ab=A|num-b=1|num-a=3}} | {{AMC10 box|year=2017|ab=A|num-b=1|num-a=3}} | ||
{{MAA Notice}} | {{MAA Notice}} |
Revision as of 18:34, 6 January 2020
Contents
Problem
Pablo buys popsicles for his friends. The store sells single popsicles for each, -popsicle boxes for each, and -popsicle boxes for . What is the greatest number of popsicles that Pablo can buy with ?
Solution
boxes give us the most popsicles/dollar, so we want to buy as many of those as possible. After buying , we have left. We cannot buy a third box, so we opt for the box instead (since it has a higher popsicles/dollar ratio than the pack). We're now out of money. We bought popsicles, so the answer is .
Video Solution
See Also
2017 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 1 |
Followed by Problem 3 | |
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 AMC 10 Problems and Solutions |
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