The height of a maple tree and a cherry tree have a ratio of 5:2. If the maple tree grew 20cm and 20cm was cut off of the top of the cherry tree, the ratio of their heights would be 3:1. How much taller is the maple tree than the cherry tree.

A. 240cm
B. 160cm
C. 400cm
D. 280cm
E. 260cm

Question

The height of a maple tree and a cherry tree have a ratio of 5:2. If the maple tree grew 20cm and 20cm was cut off of the top of the cherry tree, the ratio of their heights would be 3:1. How much taller is the maple tree than the cherry tree.

A. 240cm
B. 160cm
C. 400cm
D. 280cm
E. 260cm

anonymous · Answer

Can someone please help me with this?

anonymous · Answer

Can someone please help me with this?

anonymous · Answer

Okay

anonymous · Answer

Sorry, I can't get the working.

welshfella · Answer

let the height of maple tree be 5x and that of cherry tree be 2x

welshfella · Answer

so after  the growth and cutting off we have the equation
5x+ 20
-------  =  3
2x - 20

solve this for x

welshfella · Answer

the difference in heights is 5x - 2x