Question

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

Answer 1

6 X $2.99 (socks,X), 2 X $12.99 (Blouses,Y)

$2.99 X 6 = $17.94
$12.99 X 2 = $25.98

$17.94 + $25.98 = $43.92

Answer 2

`2.99x+12.99y=43.92`

Explanation:

Let x represents the number of pairs of socks purchased.

Cost of 1 pair of socks = $2.99

So, cost of x pairs of socks= 2.99 x

Let y represent the number of blouses purchased.

Cost of 1 blouse = $ 12.99

Cost of y blouses = 12.99 y

Since we are given that She made a purchase of total $43.92

So, the equation becomes :
`2.99x+12.99y=43.92`

Hence the equation that models the purchases she made with $43.92 is:

`2.99x+12.99y=43.92`