MathDB

3

Part of 2016 AMC 10

Problems(2)

David likes saving money

Source: Problem #3 2016 AMC 10A

2/3/2016
For every dollar Ben spent on bagels, David spent 2525 cents less. Ben paid $12.50\$12.50 more than David. How much did they spend in the bagel store together?
<spanclass=′latex−bold′>(A)</span> $37.50<spanclass=′latex−bold′>(B)</span> $50.00<spanclass=′latex−bold′>(C)</span> $87.50<spanclass=′latex−bold′>(D)</span> $90.00<spanclass=′latex−bold′>(E)</span> $92.50<span class='latex-bold'>(A)</span>\ \$37.50 \qquad<span class='latex-bold'>(B)</span>\ \$50.00\qquad<span class='latex-bold'>(C)</span>\ \$87.50\qquad<span class='latex-bold'>(D)</span>\ \$90.00\qquad<span class='latex-bold'>(E)</span>\ \$92.50
AMCAMC 10AMC 10 A2016 AMC 10A
Absolute Value Mania

Source: Problem #3 2016 AMC 10B and 12A #3

2/21/2016
Let x=−2016x=-2016. What is the value of ∣ ∣ ∣x∣−x∣−∣x∣∣−x\left| \ \bigl \lvert { \ \lvert x\rvert -x }\bigr\rvert -|x|{\frac{}{}}^{}_{}\right|-x?
<spanclass=′latex−bold′>(A)</span> −2016<spanclass=′latex−bold′>(B)</span> 0<spanclass=′latex−bold′>(C)</span> 2016<spanclass=′latex−bold′>(D)</span> 4032<spanclass=′latex−bold′>(E)</span> 6048<span class='latex-bold'>(A)</span>\ -2016\qquad<span class='latex-bold'>(B)</span>\ 0\qquad<span class='latex-bold'>(C)</span>\ 2016\qquad<span class='latex-bold'>(D)</span>\ 4032\qquad<span class='latex-bold'>(E)</span>\ 6048
absolute valueAMCAMC 10AMC 10 B2016 AMC 10B2016 AMC 12B