Question

The state of Texas is about 6 times the size of the state of New Jersey. The state of Pennsylvania

is half the size of the state of Texas. What is the ratio of the size of New Jersey to the size of
Pennsylvania?

Answer 1

New Jersey is 1/3 the size of Pennsylvania or

Pennsylvania is 3 times the size of New Jersey

Explanation:

T = Texas N = New Jersey P = Pennsylvania

T = 6N

P = 1/2T

so flip it

if

P = 1/2T

then

T=2P

2P = T = 6N

2P = 6N

then simpify by dividing both sides by 2

P = 3N

Ratio of the size of New Jersey to the size of

Pennsylvania

so flip it

if

P = 3N

then

1/3P = N

N = 1/3P

so

Ratio is

New Jersey is 1/3 the size of Pennsylvania