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 \( \square \)

To determine how many tie-dyed shirts the man sold, let's break down the problem step by step. 1. **Define the Variables:** - Let \( S \) represent the number of silk-screened shirts sold. - Since he sold **6 times as many tie-dyed shirts as silk-screened shirts**, the number of tie-dyed shirts sold is \( 6S \). 2. **Set Up the Equation:** - The total number of shirts sold is 245. - Therefore, the sum of silk-screened and tie-dyed shirts is: \[ S + 6S = 245 \] 3. **Solve for \( S \):** \[ 7S = 245 \\ S = \frac{245}{7} \\ S = 35 \] 4. **Determine the Number of Tie-Dyed Shirts:** \[ \text{Tie-dyed shirts} = 6S = 6 \times 35 = 210 \] **Answer:** The number of tie-dyed shirts sold is **210**.