Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18. Is there a situation in which they pay the same amount for their purchases? Explain.

Answer:They need to buy 6 pairs of uniform pants so that they pay the same amount for their purchasesStep-by-step explanation:Let x be the no. of pairs of uniform pants  for which the total cost in both the cases will be same.Case 1: Cost of 1 pairs of uniform pants = $17.95 eachCost of x pairs of uniform pants = $17.95xCost of sweater = $24. Total cost = 24+17.95xCase 2:Cost of 1 pairs of uniform pants = $18.95 Cost of x pairs of uniform pants = $18.95xCost of sweater = $18Total cost = 18+18.95xATQ[tex]24+17.95x = 18+18.95x[/tex][tex]24-18=18.95x-17.95x [/tex][tex]24-18=x [/tex][tex]6=x [/tex]Hence they need to buy 6 pairs of uniform pants so that they pay the same amount for their purchases