Solving equations

Question

Luke is a fan of racket sports. The tennis court is 2802 feet squared. He knows that the area is 8 square feet more than 3.5 times the size of a racquetball court. How big is the racquetball court?

Answer 1

TCA = Tennis Court Area = 2802² = 7851204

 

RCA = Racquetball Court Area = ?         | need to solve for RCA

 

TCA = 8 sqft + 3.5 * RCA                     | equation needing to be solved

7851204 = 8 sqft + 3.5 * RCA               | plug in TCA

7851204 - 8 = 3.5 * RCA                      | subtract 8 from both sides

7851196 = 3.5 * RCA

 

7851196 / 3.5 = RCA                            | divide 3.5 from both sides

 

2243198.85714 = RCA                          | solution

 

2243199 = RCA                                    | rounded to nearest whole #