AMC 8 1989 Problem 7

AMC8 1989 年第 7 题

方程与不等式★★☆☆☆
If the value of 20 quarters and 10 dimes equals the value of 10 quarters and nn dimes, then n=
如果 20 个 25 分硬币和 10 个 10 分硬币的总价值等于 10 个 25 分硬币和 nn 个 10 分硬币的总价值,则 n=
  1. A.10
  2. B.20
  3. C.30
  4. D.35
  5. E.45

正确答案 · Correct Answer

D

解析 · Solution

Solution 1

The total value of 20 quarters and 10 dimes is 20⋅$0.25+10⋅$0.10=$6.0020 \cdot \$0.25 + 10 \cdot \$0.10 = \$6.00.
The value of 10 quarters is 10⋅$0.25=$2.5010 \cdot \$0.25 = \$2.50.
Therefore, the value of nn dimes is $6.00 - $2.50 = $3.50, so n=$3.50÷$0.10=35n = \$3.50 \div \$0.10 = 35

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