Now that you know Theresa's height, find Paul's and Steve's height. Plug Theresa's height into the expressions for Paul's height and Steve's height. How tall are they each in inches? Are they both the same height?

Respuesta :

Answer:

Theresa is 58.82 in tall

Step-by-step explanation:

Let  

x----------> Paul and Steve heights

y----------> Theresa height

we know that

1 1/2-------> 3/2---> 1.5

1 1/3-------> 4/3----> 1.33

Paul says he is 16 inches shorter than 1 1/2 times Theresa's height

x=1.5y-16-------> equation 1

Steve says he's 6 inches shorter than 1 1/3 times Theresa's height

x=1.33y-6------> equation 2

equals 1 and 2

1.5y-16=1.33y-6

1.5y-1.33y=-6+16

0.17y=10----------> y=58.82 in

x=1.5y-16------> 1.5*(58.82)-16------> x=72.24 in

the answer is

Theresa is 58.82 in tall