SOLUTION: A picture 8 inches long and 6 inches wide is to be enlarged so that its length will be 12 inches. What is the width in inches, of the enlarged picture? a.6 b. 3 c. 2 4. 8 5.9

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A picture 8 inches long and 6 inches wide is to be enlarged so that its length will be 12 inches. What is the width in inches, of the enlarged picture? a.6 b. 3 c. 2 4. 8 5.9      Log On


   

Question 227749: A picture 8 inches long and 6 inches wide is to be enlarged so that its length will be 12 inches. What is the width in inches, of the enlarged picture?
a.6
b. 3
c. 2
4. 8
5.9
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
A picture 8 inches long and 6 inches wide is to be enlarged so that its length will be 12 inches. What is the width in inches, of the enlarged picture?

a.6
b. 3
c. 2
4. 8
5.9

Step 1. Assume the same proportions such that

length%2Fwidth=8%2F6=12%2Fw where w is the width of the enlarged picture

Step 2. Solving 8%2F6=12%2Fw

4%2F3=12%2Fw

Multiply by 3w/4 to both sides of the equation

%28w3%2F4%29%2A%284%2F3%29=%283w%2F4%29%2A%2812%2Fw%29

w=9

Step 3. ANSWER: The enlarged width is 9 inches.

I hope the above steps were helpful.

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And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV