2009 AMC 8 Problems/Problem 1: Difference between revisions

Revision as of 11:37, 31 December 2023

Problem

Bridget bought a bag of apples at the grocery store. She gave half of the apples to Ann. Then she gave Cassie 3 apples, keeping 4 apples for herself. How many apples did Bridget buy?

$\textbf{(A)}\ 3\qquad\textbf{(B)}\ 4\qquad\textbf{(C)}\ 7\qquad\textbf{(D)}\ 11\qquad\textbf{(E)}\ 14$

Solution

If we set up an equation, we find out $x=(3+4)\cdot 2$ because 3 apples were left after giving half, then four away. We can simplify the equations to $x=7\cdot 2=14.$ The answer is $\text{(E) } 14.$

~John0412

Solution 2

You can work backwards and add 3 apples that she gave to Cassie to the 4 she currently has, which results in 7, and then multiply by 2 since she gave half the apples to Ann, resulting in $\qquad\textbf{(E)}\ 14$ . ~Anabel.disher

Video Solution

https://www.youtube.com/watch?v=USVVURBLaAc

Video Solution 2

https://youtu.be/a2-76knCCEE

~savannahsolver

2009 AMC 8 (Problems • Answer Key • Resources)
Preceded by First Problem	Followed by Problem 2
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All AJHSME/AMC 8 Problems and Solutions

These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. Error creating thumbnail: File missing

@@ Line 7: / Line 7: @@
 ==Solution==
-If we set up an equation, we find out x=(3+4)*2 because 3 apples were left after giving half, then four away.
+If we set up an equation, we find out <math>x=(3+4)\cdot 2</math> because 3 apples were left after giving half, then four away.
-We can simplify the equations to x=7*2=14.
+We can simplify the equations to <math>x=7\cdot 2=14.</math>
-The answer is (E) 14.
+The answer is <math>\text{(E) } 14.</math>
 ~John0412

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