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. They set up the situation with the equation below, where x is the number of pairs of pants. Is there a situation in which they pay the same amount for their purchases? Select all statements that correctly represent this situation. A. 17.75x + 24 = 18.95x + 18 B.There are no solutions to the equation. C.There is one solution to the equation. D. There are infinitely many solutions to the equation. E. There is never a situation in which both girls will pay the same amount for their purchase. F.The girls will both pay the same if they buy six pairs of pants and one sweater. G.The girls will pay the same amount for any number of pants and one sweater.

Answer 1

Answer:

Options A, C and F are correct

Step-by-step explanation:

The expression in the question has a slight error in it

"17.75x + 24 = 18.95x + 18" is mearnt to be 17.95x + 24 = 18.95x + 18

Options A, C and F is correct

Given the expression  for the situation

17.95x + 24 = 18.95x + 18

collect like terms

17.95x-18.95x=18-24

-x=-6

divide both sides by -1 and solve for x we have

x=6

The girls will both pay the same if they buy six pairs of pants and one sweater.