Q.74 - Algebra 2

Question

Stamps Paula bought $22.82 worth of 49-cent

stamps and 21-cent stamps. The number of 21-cent

stamps was eight less than the number of

49-cent stamps. Solve the equation

0.49s + 0.21(s − 8) = 22.82 for s, to find the number

of 49-cent stamps Paula bought.

Step-by-Step Solution

Answer

The number of 49-cent stamps are 35.

Step 1 - The given information

$0.49s + 0.21(s - 8) = 22.82$

Step 2

$$\begin{gathered} 0.49s + 0.21(s - 8) = 22.82 \\ \Rightarrow 0.49s + 0.21s - 1.68) = 22.82 \\ \Rightarrow 0.70s=22.82+1.68 \\ \Rightarrow 0.70s=24.5 \\ \Rightarrow s=35 \end{gathered}$$