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

1. thnahdat
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

2. 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.