MathDB

7

Part of 2004 AMC 10

Problems(2)

Problem: 2004 AMC 10 #7

Source:

2/1/2007
A grocer stacks oranges in a pyramid-like stack whose rectangular base is 5 5 oranges by 8 8 oranges. Each orange above the first level rests in a pocket formed by four oranges in the level below. The stack is completed by a single row of oranges. How many oranges are in the stack? <spanclass=′latex−bold′>(A)</span> 96<spanclass=′latex−bold′>(B)</span> 98<spanclass=′latex−bold′>(C)</span> 100<spanclass=′latex−bold′>(D)</span> 101<spanclass=′latex−bold′>(E)</span> 134 <span class='latex-bold'>(A)</span>\ 96 \qquad <span class='latex-bold'>(B)</span>\ 98 \qquad <span class='latex-bold'>(C)</span>\ 100 \qquad <span class='latex-bold'>(D)</span>\ 101 \qquad <span class='latex-bold'>(E)</span>\ 134
geometry3D geometrypyramid
Isabella's Vacation

Source:

1/5/2009
On a trip from the United States to Canada, Isabella took d d U.S. dollars. At the border she exchanged them all, receiving 10 10 Canadian dollars for every 7 7 U.S. dollars. After spending 60 60 Canadian dollars, she had d d Canadian dollars left. What is the sum of the digits of d d? <spanclass=′latex−bold′>(A)</span> 5<spanclass=′latex−bold′>(B)</span> 6<spanclass=′latex−bold′>(C)</span> 7<spanclass=′latex−bold′>(D)</span> 8<spanclass=′latex−bold′>(E)</span> 9 <span class='latex-bold'>(A)</span>\ 5\qquad <span class='latex-bold'>(B)</span>\ 6\qquad <span class='latex-bold'>(C)</span>\ 7\qquad <span class='latex-bold'>(D)</span>\ 8\qquad <span class='latex-bold'>(E)</span>\ 9