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Laura has to three cats: The ratio of Socks weight to princess weight is 4:5 The ratio of princesses weight to Luna's weight is 6 :7. What is the ratio of socks weight to Luna's weight?

User Vinay B
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1 Answer

7 votes

Answer:

s : l = 24 : 35

Explanation:

Let

Socks weight = s

Princess weight = p

Luna's weight = l

The ratio of Socks weight to princess weight is 4:5

s : p = 4 : 5

s / p = 4 / 5

The ratio of princesses weight to Luna's weight is 6 :7

p : l = 6 : 7

p / l = 6 / 7

What is the ratio of socks weight to Luna's weight

Multiply both given ratios

s / p * p / l = 4 / 5 * 6 / 7

p cancel out

s / l = 24 / 35

s : l = 24 : 35

Ratio of socks weight to Luna's weight is 24 : 35

User DrStrangepork
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