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anna 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? x + y = 15.98 x + y = 43.92 43.92x - 2.99y = 12.99 2.99x + 12.99y = 43.92

Respuesta :

Answer:2.99x+12.99y=43.93

Step-by-step explanation:

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

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

We have -

  • Number of pair of socks purchased = [tex]x[/tex]
  • Cost of each pair of socks = $2.99
  • Number of Blouses purchased = [tex]y[/tex]
  • Cost of each Blouse = $12.99

We have to find the equation that models her purchase of $43.92.

Suppose you have $X for shopping. You spent this money on buying [tex]n[/tex] chocolates each of $5 and [tex]m[/tex] chocolates each 0f $10. How can you express the total money you had for shopping ($X) in terms of [tex]n[/tex] and [tex]m[/tex]?

We can express the total money in terms of [tex]n[/tex] and [tex]m[/tex] using the following mathematical relation -

   [tex]Total\; Money\; spent = Money\:spent\;on\:item\;1 + Money\:spent\;on\:item\;2\;[/tex]

Therefore -                            

                                                   [tex]X=5n+10m[/tex]

The above process is called Modelling of equation.

We can use the similar process in the question given to us as -

43.99 = 2.99 x (number of pairs of socks bought) + 12.99 (number of blouses bought)

                                            43.99 = 2.99[tex]x[/tex] + 12.99[tex]y[/tex]

Therefore, the equation that models the purchases she made with $43.92 is -

                                            2.99[tex]x[/tex] + 12.99[tex]y[/tex] = 43.99

To solve more questions on modelling of equation, visit the following link - https://brainly.com/question/1397787

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