Question

word problem

Answer 1

An architect drew the blueprint for a new office building. He used a scale in which 1 inch represents 7.5 feet. The floor of an office in the building will have actual dimensions of 16 feet by 17 feet. What will be the dimensions on the blueprint?
A. 8.5 inches by 9.5 inches
B. 2.13 inches by 2.27 inches
C. 120 inches by 127.5 inches
D. 23.5 inches by 24.5 inches

Answer 2

Ok, so have you learned proportions yet?

Answer 3

yes

Answer 4

The first proportion, I will ask you to make, which is \[\frac{ 1 }{ ? }\]

Answer 5

The proportion needs to be made by this sentence:
He used a scale in which 1 inch represents 7.5 feet.

Answer 6

1/7.5

Answer 7

Good.

Answer 8

Now, can you think of any other proportions you can make using the word problem?

Answer 9

1/7.5=0.13333333333

Answer 10

1/7.5 x (16 x 17)

Answer 11

36.2666666667

Answer 12

No. You dont simplify only one proportion. Another proportion you can use is: \[\frac{ x }{ 16 }\]. Therefore you can create the equation \[\frac{ 1 }{ 7.5 }=\frac{x}{16}\]

Answer 13

x= what i dont get it

Answer 14

One way to find x is to multiply the numerator of the first equation with the denominator of the second eqution. What is the answer for that? (1*16=?)

Answer 15

16

Answer 16

Good. Now divide that by the denominator of the first equation. What is the answer to that? (16/7.5=?)

Answer 17

2.13

Answer 18

hey i choosed b

Answer 19

So x is..?

Answer 20

2.13 over 16

Answer 21

so b iz the answer

Answer 22

Good Job! Now, to confirm that the answer is B, Lets do the second proportion too!

Answer 23

Same equation, but replace the 16 with a 17!

Answer 24

What would the answer to that be?

Answer 25

2.26

Answer 26

round 2.27

Answer 27

Good Job!

Answer 28

thx

Answer 29

So that confirms that the answer is, definitely, B.

Answer 30

That's It! If you ever need any more help, then please tag me and I would be glad to help!