Question

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?

Answer 1

20 cm

Explanation:

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

So his 16 cm drawing is
`16* 5=80\ \text{ft}`

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

1 ft of the statue is
`(1)/(4)\ \text{cm}` of the drawing.

So, 80 feet of the statue is
`80* (1)/(4)=20\ \text{cm}` of the drawing.

Hence, Mary's drawing is 20 cm tall.