Ratio Maths questions?

A Find the value for X

X:1/2 = 1:4

B Divide the following quantities in the ratio given

a $5000 in the ratio 2:3

b 6000g in the ratio 2 : 3 : 7

c 600 cm in the ratio 1: 0.5

2 Answers

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  • DOVE
    Lv 6
    9 years ago
    Favorite Answer

    A Find the value for X

    X:1/2 = 1:4

    4x= 1/2

    x= 1/8

    B Divide the following quantities in the ratio given

    a $5000 in the ratio 2:3==> 2000:3000

    b 6000g in the ratio 2 : 3 : 7==> 1000:1500: 3500

    c 600 cm in the ratio 1: 0.5==>400:200

  • 9 years ago

    A)

    X/0.5 = 1/4

    4X = 0.5

    X = 0.125

    B)

    5000/3 = 1666.67

    To get 2/3 or 2:3... (5000/3 x 2)/(5000/3 * 3) = 3333.33/5000

    Do the same for the others

  • 9 years ago

    x:1/2=1:4

    so 2x:1=1:4

    so 2x=1/4

    so x=1/8=0.125

    a>taking x as the constant multiple of given ratio factors..

    2x+3x=5000

    5x=5000

    x=1000

    so 2x:3x=2*1000:3*1000

    so 2x:3x=2000:3000

    so ratio is 2000:3000

    b> similarly;

    2x+3x+7x=6000

    x=500

    so

    2x:3x:7x=1000:1500:3500

    is the ratio

    c>similarly

    1x+0.5x=600

    2x+1x=1200

    x=400

    so the ratio is 400:200

    NOTE: here the units like$,g,cm will not come as the ratio is taken between same quantities and s the ratio is constant(ie. Unitless or dimensionless)...

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