Question

HELP 99 PTS=50 PTS Theresa has two brothers, Paul and Steve, who are both the same height. Paul says he is inches shorter than times Theresa’s height. Steve says he is 6 inches shorter than 1 1/4 times Theresa’s height. If they are both right, how tall is Theresa?

To solve a problem like this one, you can use a linear equation where the variable represents Theresa’s height in inches. Let t represent Theresa’s height in inches.

Question 1
The relationships for Paul’s and Steve’s height with respect to Theresa’s height are described above. First you will write expressions for Paul’s height and for Steve’s height. Then you will relate the expressions.

Part A
Write an expression to represent Paul’s height in inches.

Answer 1

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