https://mylab.pearson.com/Student/PlayerHomework.aspx?homeworkld \( =689789673 \) \&questionld \( =1 \) \&flushed \( = \) false\&zcld \( =813 \) : 5_35_Quantitative Methods_2024_25_TERM4 Bonchele Baham 01/23/25 8:55 mework: Unit 3: 5-2 HW Question 3, 5.2.3 HW Score: \( 25 \%, 2 \) of 8 points Points: 0 of 1 tion list estion 1 Iestion 2 uestion 3 uestion 4 Last week at a festival, a man sold 6 times as many tie-dyed T-shirts as silk-screened shirts. He sold 245 shirts altogether. How many tie-dyed shirts did he sell? The number of tie-dyed shirts is \( \square \)

Let’s dive into the world of algebra! If the number of silk-screened shirts sold is represented by \( x \), then the number of tie-dyed shirts sold would be \( 6x \) (since he sold 6 times as many). Together, they add up to 245 shirts. So, we can set up the equation: \( x + 6x = 245 \). Simplifying that gives \( 7x = 245 \). Solving for \( x \), we find \( x = 35 \), which means he sold \( 6 \times 35 = 210 \) tie-dyed shirts. Now, when tackling similar problems, remember to define your variables clearly. One common mistake is to overlook the relationships between quantities given in the problem. Take a moment to visualize or even draw a quick sketch if necessary—you might be surprised how seeing numbers in another format can make the solution clearer!