In a discount clothing store, all sweaters are sold at one fixed price and all shirts are sold at another fixed price. If one sweater and four shirts cost $52, while four sweaters and five shirts cost $98. Find the price of one sweater and the price of one shirt.

Answer:1 Sweater = $121 Shirt = $10 1st.Sw = ySh = x2nd: set the problem into a function. - One sweater and four shirts cost $52.y+x+x+x+x = $52and- Four sweaters and five shirts cost $98.y+y+y+y+x+x+x+x+x = $983rd.y+x+x+x+x = $52 y = 52-x-x-x-x y = 52-4x4th. if y = 52-4x, we will substitute on the second equation. y+y+y+y+x+x+x+x+x = $9852-4x+52-4x+52-4x+52-4x+5x = 98 208-16x+5x = 98 -16x+5x = 98-208 -11x = -110 x = -110/-11 x = 105th. if x = 10, now that we know what x equals to, we will substitute on the first equation to find out what y equals to.y = 52-4xy = 52-(4)(10)y = 12----------,-----------,---------,-----------,--------,--------,---------Sweater = $12Shirt = $10