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Monica paid $8.36 for 41-cent and two-cent stamps, buying four more than twice as many 41-cent stamps as two-cent stamps. How many two-cent stamps did she buy?
A20 stamps
B8 stamps
C4 stamps
D16 stamps
Answer & Solution
Correct answer: B. 8 stamps
1. Let x equal the number of two-cent stamps, so the number of 41-cent stamps is 2x plus 4.
2. The total value equation is 0.41(2x plus 4) plus 0.02x equals 8.36.
3. Distribute and combine like terms: 0.84x plus 1.64 equals 8.36.
4. Subtract 1.64 and divide by 0.84 to get x equals 8 two-cent stamps.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 3 "Math Models", section 3.3 Solve Mixture Applications_
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