Ja’kniya and Alayjah are shopping at the Apple Store. Ja’kniya bought 4 screensavers and 3 Otterboxes for $29. Alayjah bought 6 screensavers

Question

Ja’kniya and Alayjah are shopping at the Apple Store. Ja’kniya bought 4 screensavers and 3 Otterboxes for $29. Alayjah bought 6 screensavers and 2 Otterboxes for $26. How much did each screensaver and each Otterbox cost?

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Edana Edana 5 months 2021-08-23T09:51:10+00:00 1 Answers 5 views 0

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    2021-08-23T09:52:34+00:00

    Answer:  Each screensaver costs $2 and each Otterbox costs $7.

    Step-by-step explanation:

    Let x = Cost of each screensaver and y = cost of each Otterbox.

    As per given, 4x+3y=29       (i)

    6x +2y = 26  (ii)

    Divide both sides of (i) by 2 and the multiply it by 3 on sides , we get

    9x+3y=39    (iii)

    Eliminate (i) from (iii) , we get

    5x = 10

    ⇒ x = 2  [Divide both sides by 5]

    Put value of x in (i), we get

    4(2)+3y=29

    ⇒ 8+3y= 29

    ⇒ 3y= 21

    ⇒ y =7 [Divide both sides by 7]

    Hence, Each screensaver costs $2 and each Otterbox costs $7.

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