Four planets — A, B, C and D — are orbiting a star. A weighs 0.2 times as much as B does while C weighs 1.2 times as much as D does and four times as much as B does. Find the ratio of the weight of A to D, both as a fraction and as a decimal.
Answers
Answer:
Fractional form = 3/50
Decimal form = 0.06
Step-by-step explanation:
Given A = 0.2 times B = 0.2B
C = 4 times B = 4B
C = 1.2 times D = 1.2D
therefore D = C/1.2
Let B = X
so A = 0.2x
Ratio of A to D
A:D = 0.2x : C/1.2
A/D = 0.2x * 1.2 / 4x
A/D = 2.4 x / 4 x
A/D = 0.6/10
A/D = 0.3/5
A/D = 3/50
Fraction form = 3/50
Decimal form = 0.06
Given : Four planets — A, B, C and D — are orbiting a star.
A weighs 0.2 times as much as B does
while C weighs 1.2 times as much as D does and four times as much as B does.
To Find : the ratio of the weight of A to D
Solution:
Weight of D = D
C weighs 1.2 times as much as D
=> Weight of C = 1.2D
C weighs four times as much as B does.
=> 1.2D = 4B
=> B = 0.3D
A weighs 0.2 times as much as B does
=> A = 0.2B
=> A= 0.2 (0.3D)
=> A = 0.06D
=> A/D = 0.06
0.06 = 6/100 = 3/50
ratio of the weight of A to D is 0.06 or 3 : 50
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