Question

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

Answer 1

The answer is 25 children and 75 adults. Equation 1: A+C= 100 and equation 2: 2c+3a= 275 
25(2)=50 75(3)=225. 
225+50=275 
Also 75+25=100