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Tom makes a scale drawing of a statue using the scale 1 cm: 5 ft. His drawing measures 16 cm. Mary makes a scale drawing of the same statue, but uses the scale 1 cm: 4 ft. How many centimeters tall is the statue on Mary's drawing?

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Answer:

20 cm

Step-by-step explanation:

1 cm of Tom's drawing is 5 ft of the statue

So his 16 cm drawing is [tex]16\times 5=80\ \text{ft}[/tex]

1 cm of Mary's drawing is 4 ft of the statue

1 ft of the statue is [tex]\dfrac{1}{4}\ \text{cm}[/tex] of the drawing.

So, 80 feet of the statue is [tex]80\times \dfrac{1}{4}=20\ \text{cm}[/tex] of the drawing.

Hence, Mary's drawing is 20 cm tall.

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