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.

A situation in which they pay the same amount for their purchases is;

When they both buy 6 pairs of pants each and 1 sweater each.

We are told Cost for kersey is;

Each Pant = $17.95

Each Sweater = $24

If number of pants is x. Then total cost for kersey is;

17.95x + 24

We are told Cost for Jeana is;

Each pair of Pant = $18.95

A Sweater = $18

If number of pairs of pants is x. Then total cost for Jeana is;

18.95x + 18

A situation where their total cost will be the same is;

17.95x + 24 = 18.95x + 18

18.95x - 17.95x = 24 - 18

x = 6

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They need to buy 6 pairs of uniform pants so that they pay the same amount for their purchases

Step-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 each

Cost of x pairs of uniform pants = $17.95x

Cost of sweater = $24.

Total cost = 24+17.95x

Case 2:

Cost of 1 pairs of uniform pants = $18.95

Cost of x pairs of uniform pants = $18.95x

Cost of sweater = $18

Total cost = 18+18.95x

ATQ

Hence they need to buy 6 pairs of uniform pants so that they pay the same amount for their purchases