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. Is there a situation in which they pay the same amount for their purchases?

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MrRoyal MrRoyal · Answer 1 · 2021-04-24T04:35:48+02:00

Answer:

6 pairs of uniform pants

Step-by-step explanation:

Given

Kelsey

[tex]Pants = \$17.95[/tex] each

[tex]Sweater = \$24[/tex]

Jeana

[tex]Pants =\$18.95[/tex]

[tex]Sweater = \$18[/tex] -- Missing from the question

Required

Possible situation where they paid the same amount.

To do this, we assume that they purchase the same amount of pants (x).

So, the equation for both is:

[tex]Amount = Pant * x + Sweater[/tex]

This gives:

[tex]Kelsey = 17.95x + 24[/tex]

[tex]Jeana = 18.95x + 18[/tex]

For both to pay the same amount,

[tex]Kelsey = Jeana[/tex]

This gives:

[tex]17.95x + 24 = 18.95x + 18[/tex]

Collect like terms

[tex]17.95x - 18.95x = -24 + 18[/tex]

[tex]-x = -6[/tex]

[tex]x = 6[/tex]

This means that, if they buy 6 pairs of uniforms each, they will pay the same amount.