The expression 8x+2(3y) represents the total amount, in dollars, that Davellyn spent on tank tops and scarves, where x represents the number of tank tops she bought and y represents the number of scarves she bought. Which statement must be true about the amount Davellyn spent?

  • She spent 8x dollars on scarves
  • She spent 8 dollars for each scarf
  • She spent 6y dollars on scarves
  • She spent a total of 14 dollars

Verified Answer :

I believe the answer is C

Answer:

C. She spent 6y dollars on scarves.

Step-by-step explanation:

Let x be the number of tank tops and y represents the number of scarves bought by Davellyn.

We have been given an expression \(8x+2(3y)\), which represents the total amount, in dollars, that Davellyn spent on tank tops and scarves.

Since x represents the number of tank tops, so 8x represents the amount spent on x tank tops costing each top $8.

Since y represents the number of scarves, so 3y represents the amount spent on y scarves. As 3y is multiplied by 2, so the cost of y scarves will be 6y (2*3y).

Therefore, Davellyn spent 6y dollars on y scarves and option C is the correct choice.