Question

Latesha buys some tennis balls at $1 each and rackets at $12 each for her PE class. She buys twice as many balls as rackets. She spends $92 in total, which includes $8 tax. Which equation would you use to find the number of rackets she buys

Answer 1

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

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. :)

Answer 2

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

6 Rackets and 12 balls.

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