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Ann weighs 259 pounds but is only 5 feet 3 inches tall. Betty is 6 feet tall. How much would you expect Betty to weigh if they have the same height/weight ratio?

A. 226.62 LBS

B. 24 LBS

C. 518.00 LBS

D. 296.00 LBS

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Sagot :

mathstudent55

Answer:

D. 296.00 LBS

Step-by-step explanation:

We convert both heights to inches.

1 ft = 12 in.

5 ft 3 in = 5 × 12 in. + 3 in. = 63 in.

6 ft = 6 × 12 in. = 72 in.

[tex] \dfrac{63~in.}{259~lb} = \dfrac{72~in.}{x} [/tex]

[tex] \dfrac{63x}{259} = 72~lb [/tex]

[tex] x = \dfrac{259 \times 72~lb}{63} [/tex]

[tex] x = 296~lb [/tex]

Answer: D. 296.00 LBS

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