One wall inside an art studio is used to display paintings with oval frames and rectangular frames. There are a total of 68 paintings

Question

One wall inside an art studio is used to display paintings with oval frames and rectangular
frames. There are a total of 68 paintings on this display. There are 3 times as many
rectangular frames as there are oval frames in this display. How many oval frames and
rectangular frames are on the display?

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Ngọc Diệp 4 years 2021-08-30T16:28:11+00:00 1 Answers 8 views 0

Answers ( )

  1. ngochoa
    0
    2021-08-30T16:29:41+00:00
    Reply

    Answer:

    Oval frames = 17

    Rectangular frames = 51

    Step-by-step explanation:

    Given that :

    Paintings on wall are either oval or rectangular ;

    Let :

    Oval painting = x

    Rectangular painting = y

    According to the information given :

    x + y = 68 – – (1)

    Rectangular frames = 3 times oval frames

    y = 3x – – – (2)

    Put y = 3x in equation (1)

    x + 3x = 68

    4x = 68

    x = 68/4

    x = 17 frames

    From :

    x + y = 68

    17 + y = 68

    y = 68 – 17

    y = 51

    Oval frames = 17

    Rectangular frames = 51

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