A team t-shirt costs $3 per adult and $2 per child. On a certain day, the total number of adults (a) and children (c) who bought
shirts was 100, and the total money collected was $275. Which of the following options represents the number of children and the number of adults who purchased team shirts that day, and the pair of equations that can be solved to find the numbers? 75 children and 25 adults Equation 1: a + c = 100 Equation 2: 3a − 2c = 275 75 children and 25 adults Equation 1: a + c = 100 Equation 2: 3a + 2c = 275 25 children and 75 adults Equation 1: a + c = 100 Equation 2: 3a − 2c = 275 25 children and 75 adults Equation 1: a + c = 100 Equation 2: 3a + 2c = 275
The volume for a pyramid is , where B is the area of the base and h is the height. We are given the volume, and the base and height in terms of x. Our formula then looks like this: . Simplifying the right side we have . Multiply both sides by 18 to get rid of the fraction and we have , so x = 117.575
, where B is the area of the base and h is the height. We are given the volume, and the base and height in terms of x. Our formula then looks like this: 
. Simplifying the right side we have 
. Multiply both sides by 18 to get rid of the fraction and we have 
, so x = 117.575