2006 AMC 8 Problem 1

Attempt Problem 1 of the 2006 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2006 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

1.

Mindy made three purchases for $1.98\$1.98, $5.04\$5.04, and $9.89\$9.89. What was her total, to the nearest dollar?
$10\$10
$15\$15
$16\$16
$17\$17
$18\$18
Answer: D
Concepts:estimationmoney
Small hint:
Round each price to the nearest dollar before adding.
Big hint:
The exact cents are not needed because the question asks for the nearest dollar.
Solution:
Since all the values are already close to a whole number, we can just add the sums of the rounded numbers.
These prices round to $2,\$ 2, $5,\$ 5, and $10,\$ 10, which add to $17.\$ 17.
Thus, D is the correct answer.
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