MathDB

9

Part of 2006 AMC 12/AHSME

Problems(2)

Pencils and erasers

Source: AMC 12 2006A, Problem 9

2/5/2006
Oscar buys 13 pencils and 3 erasers for $1.00 \$1.00. A pencil costs more than an eraser, and both items cost a whole number of cents. What is the total cost, in cents, of one pencil and one eraser? <spanclass=′latex−bold′>(A)</span>10<spanclass=′latex−bold′>(B)</span>12<spanclass=′latex−bold′>(C)</span>15<spanclass=′latex−bold′>(D)</span>18<spanclass=′latex−bold′>(E)</span>20 <span class='latex-bold'>(A) </span> 10\qquad <span class='latex-bold'>(B) </span> 12\qquad <span class='latex-bold'>(C) </span> 15\qquad <span class='latex-bold'>(D) </span> 18\qquad <span class='latex-bold'>(E) </span> 20
AMC
Increasing Digits

Source: AMC 12 2006B, Problem 9

2/17/2006
How many even three-digit integers have the property that their digits, read left to right, are in strictly increasing order? <spanclass=′latex−bold′>(A)</span>21<spanclass=′latex−bold′>(B)</span>34<spanclass=′latex−bold′>(C)</span>51<spanclass=′latex−bold′>(D)</span>72<spanclass=′latex−bold′>(E)</span>150 <span class='latex-bold'>(A) </span> 21 \qquad <span class='latex-bold'>(B) </span> 34 \qquad <span class='latex-bold'>(C) </span> 51 \qquad <span class='latex-bold'>(D) </span> 72 \qquad <span class='latex-bold'>(E) </span> 150
AMC