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# Word Problems/Scale

Question
Hello:

A plastic model kit has a scale of 1:48, and another kit has a scale of 1:72.

1. Is the 1:48 model kit 1 & 1/2 times larger than the kit with the scale of 1:72?

2. Would it require 1 & 1/2 of the 1:72 model kit to equal one 1:48 model kit in all dimensions of length, height and width?

The 1:48 model is 1/48 the actual and
the 1:72 model is 1/72 the actual size.

So, what (x) time 1/72 = 1/48?
x/72=1/48 ==> x=72/48=3/2=1.5...so, yes 1.5 larger...

I wouldn't say "...it requires 1 & 1/2 of the 1:72 model kit to equal one 1:48 model kit "
but more accurate to say 1.5 times the 1:72 model (in all dimensions) would be equivalent
to the 1:48 model.

Abe
Questioner's Rating
 Rating(1-10) Knowledgeability = 10 Clarity of Response = 10 Politeness = 10 Comment Thanks for the reply!

Word Problems

Volunteer

#### Abe Mantell

##### Expertise

Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!

##### Experience

Over 15 years teaching at the college level.

Organizations
NCTM, NYSMATYC, AMATYC, MAA, NYSUT, AFT.

Education/Credentials
B.S. in Mathematics from Rensselaer Polytechnic Institute
M.S. (and A.B.D.) in Applied Mathematics from SUNY @ Stony Brook