Question

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 1

Answer:

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

$24+17.95x = 18+18.95x$

$24-18=18.95x-17.95x$

$24-18=x$

$6=x$

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