Question

Sarah took clothes to the cleaners three times last month. First, she brought 3 shirts and 2 pairs of slacks and paid $12.45. Then she brought 6 shirts, 3 pairs of slacks, and 2 sports coats and paid $34.89. Finally, she brought 5 shirts and 2 sports coats and paid $21.43. How much was she charged for each shirt, each pair of slacks, and each sports coat? for each shirt, $ Sarah was charged $ coat. for each pair of slacks, and $ for each sports

Answer 1

# Suppose she that sarah was charged x, y for one shirt, I pair of slacks and. one sports coats respectively. So and z CD 3x+2y = 12.45 6x + 3y +22= 34.89 (11) Com 21.43 5x + 22 we get Subtract (111) from (11) CW x+3y 13.46 Multiply in (10) by 3 then subtract (1) from we get Ty = 3x13.46 -12.45 = 40.38 -12.45 = 27.93 y = 3.77 27.93 7. from (iv) x+3x3.77 = 13.46

X = 13.46 - 11:31 2.15 from CD 5x2.15+ 22 = 21.43 =) 2 Z 21.43 -10.75 22 = 10.68 z = 10.68 2 5.34 π Hence Sarah was charged $2.15 for each shert $3.77 for each pair of slacks and $5.34 for each sports coat