Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

Difference between revisions of "2006 AMC 12A Problems/Problem 1"

m (→‎See also: fixed typo)
(→‎Solution)
 
(12 intermediate revisions by 7 users not shown)
Line 1: Line 1:
 +
{{duplicate|[[2006 AMC 12A Problems|2006 AMC 12A #1]] and [[2006 AMC 10A Problems|2006 AMC 10A #1]]}}
 
== Problem ==
 
== Problem ==
 +
Sandwiches at Joe's Fast Food cost <math>\$3</math> each and sodas cost <math>\$2</math> each. How many dollars will it cost to purchase <math>5</math> sandwiches and <math>8</math> sodas?
  
−
Sandwiches at Joe's Fast Food cost 3 dollars each and sodas cost 2 dollars each. How many dollars will it cost to purchase <math>5</math> sandwiches and <math>8</math> sodas?
+
<math>\textbf{(A)}\ 31\qquad\textbf{(B)}\ 32\qquad\textbf{(C)}\ 33\qquad\textbf{(D)}\ 34\qquad\textbf{(E)}\ 35</math>
−
 
 
−
<math> \mathrm{(A) \ } 31\qquad \mathrm{(B) \ } 32\qquad \mathrm{(C) \ } 33\qquad \mathrm{(D) \ } 34</math>
 
−
 
 
−
<math>\mathrm{(E) \ } 35 </math>
 
  
 
== Solution ==
 
== Solution ==
−
 
+
The <math>5</math> sandwiches cost <math>5\cdot 3=15</math> dollars. The <math>8</math> sodas cost <math>8\cdot 2=16</math> dollars. In total, the purchase costs <math>15+16=\boxed{\textbf{(A) }31}</math> dollars.
−
The <math>5</math> sandwiches cost <math>5\cdot 3=15</math> dollars. The <math>8</math> sodas cost <math>8\cdot 2=16</math> dollars. In total, the purchase costs <math>15+16=31</math> dollars.  The answer is <math>\mathrm{(A) \ }</math>.
 
  
 
== See also ==
 
== See also ==
−
* [[2006 AMC 12A Problems]]
+
{{AMC12 box|year=2006|ab=A|before=First Question|num-a=2}}
−
*[[2006 AMC 12A Problems/Problem 2|Next Problem]]
+
{{AMC10 box|year=2006|ab=A|before=First Question|num-a=2}}
 +
{{MAA Notice}}
  
 
[[Category:Introductory Algebra Problems]]
 
[[Category:Introductory Algebra Problems]]

Latest revision as of 16:20, 16 December 2021

The following problem is from both the 2006 AMC 12A #1 and 2006 AMC 10A #1, so both problems redirect to this page.

Problem

Sandwiches at Joe's Fast Food cost $$3$ each and sodas cost $$2$ each. How many dollars will it cost to purchase $5$ sandwiches and $8$ sodas?

$\textbf{(A)}\ 31\qquad\textbf{(B)}\ 32\qquad\textbf{(C)}\ 33\qquad\textbf{(D)}\ 34\qquad\textbf{(E)}\ 35$

Solution

The $5$ sandwiches cost $5\cdot 3=15$ dollars. The $8$ sodas cost $8\cdot 2=16$ dollars. In total, the purchase costs $15+16=\boxed{\textbf{(A) }31}$ dollars.

See also

2006 AMC 12A (Problems • Answer Key • Resources)
Preceded by
First Question 		Followed by
Problem 2
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 12 Problems and Solutions
2006 AMC 10A (Problems • Answer Key • Resources)
Preceded by
First Question 		Followed by
Problem 2
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

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2006_AMC_12A_Problems/Problem_1&oldid=167828"