Hanna shops for socks that cost [tex] \$2.99 [/tex] for each pair and blouses that cost [tex] \$12.99 [/tex] each. Let [tex] x [/tex] represent the number of pairs of socks purchased, and let [tex] y [/tex] represent the number of blouses purchased. Which equation models the purchases she made with [tex] \$43.92 [/tex]?

[tex]\[
\begin{array}{l}
A. \ x + y = 15.98 \\
B. \ x + y = 43.92 \\
C. \ 43.92 x - 2.99 y = 12.99 \\
D. \ 2.99 x + 12.99 y = 43.92
\end{array}
\][/tex]



Answer :

To determine which equation models the purchases Hanna made with \[tex]$43.92, we need to formulate an equation based on the costs of socks and blouses and the total amount spent. 1. Identify the costs: - Each pair of socks costs \$[/tex]2.99.
- Each blouse costs \[tex]$12.99. 2. Let \( x \) represent the number of pairs of socks purchased. 3. Let \( y \) represent the number of blouses purchased. 4. Create an equation that represents the total cost: - The cost for \( x \) pairs of socks is \( 2.99x \). - The cost for \( y \) blouses is \( 12.99y \). - The total spending is \$[/tex]43.92.

Using these pieces of information, we can combine the costs to form the correct equation:

[tex]\[ 2.99x + 12.99y = 43.92 \][/tex]

Therefore, the equation that models Hanna's purchases is:

[tex]\[ 2.99x + 12.99y = 43.92 \][/tex]