Answers

1. Answer:

   The equation is:  2R + 12R = 84, where R is the number of rackets.

   6 Rackets and 12 balls.

   Step-by-step explanation:

   Let B and R be the numbers of Tennis Balls and Rackets Latesha buys, respectively.

   We are told that B = 2R  [“She buys twice as many balls as rackets.”]

   The cost of balls and rackets would be the product of the items price times B and R, the number of each item.

   Balls = $1B

   Rackets = $12R

   Latesha spends $92, but $8 is tax.  She therefore spend (92 – 8) = $84 on the gear.

   Total Cost = $1B + $12R, which we know is $84

   This gives us:    1B + 12R = 84

   Since B = 2R, we can substitute:

   1B + 12R = 84

   2R + 12R = 84

   14R = 84

   R = 6
   If R=6 and B=2R,

   B = 12

   Reply
2. Answer:

   Actually, you would use the equation 12(x)+1(2x)+8=92 to find the number of rackets Latesha buys.

   Step-by-step explanation:

   Let’s break down what we do know in this problem.

   First, we know that rackets cost $12 each.

   Second, we know that x represents the number of rackets.

   Third, we know that tennis balls cost $1 each, and that Latesha bought twice as many.

   Fourth, we know that the total includes an $8 tax.

   Fifth and finally, we know that we want the equation to equal $92 since this is the total.

   With these values in mind, we can form the equation that includes all of the information given. That being, 12(x)+1(2x)+8=92. 🙂

   Reply